Fuzzy ‎n‎umber

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1 - Temporal Dimension Evaluation by Fuzzy TOPSIS Method
Maliheh Hashemi Tilehnoei Mehdi Amiri Aref

This paper evaluates and ranks the temporal dimensions, known as fourth dimension of urban design, of anumber of places in a city by TOPSIS method. TOPSIS method is technique for order preference by similarity to ideal solution.TOPSIS is one of the renowned methods for چکیده کامل

This paper evaluates and ranks the temporal dimensions, known as fourth dimension of urban design, of anumber of places in a city by TOPSIS method. TOPSIS method is technique for order preference by similarity to ideal solution.TOPSIS is one of the renowned methods for classical multi-criteria decision-making (MCDM) problems that defines thepositive ideal solution and negative ideal solution to maximize the benefit criteria and minimize the cost criteria. The bestsolution is a point that has the shortest distance from the positive ideal solution and the farthest distance from the negativeideal solution. Because of the vagueness of the input data, triangular fuzzy numbers are applied. In addition, Euclidian distanceand a new positive and negative ideal solution are used in this paper. This technique is implemented in Marand, Iran to evaluatefifteen important places based on eight criteria of temporal dimensions. Closeness coefficient values verify the ranking orderof fifteen important places, which is a vital decision for the urban managers. پرونده مقاله

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2 - بازبینی یک مدل ریاضی برای حل مساله‌ی برنامه‌ریزی خطی تماماً فازی با اعداد فازی ذوزنقه‌ای
علی ابراهیم نژاد

در این مقاله، مساله‌ی برنامه‌ریزی خطی تماماً فازی (FFLP) با قیود مساوی و نامساوی بررسی می‌شود که در آن تمام پارامترها و متغیرهای تصمیم گیری مساله با اعداد فازی ذوزنقه‌ای ذوزنقه ای نامنفی نمایش داده می‌شوند. رویکرد جاری ابتدا مساله‌ی برنامه‌ریزی خطی تماماً فازی را به یک چکیده کامل

در این مقاله، مساله‌ی برنامه‌ریزی خطی تماماً فازی (FFLP) با قیود مساوی و نامساوی بررسی می‌شود که در آن تمام پارامترها و متغیرهای تصمیم گیری مساله با اعداد فازی ذوزنقه‌ای ذوزنقه ای نامنفی نمایش داده می‌شوند. رویکرد جاری ابتدا مساله‌ی برنامه‌ریزی خطی تماماً فازی را به یک مساله برنامه ریزی خطی چند هدفه با قیود قطعی تبدیل می کند، سپس از روش مقایسه الفبایی برای حل مساله برنامه ریزی خطی چند هدفه استفاده میکند. با این وجود، این رویکرد برای یافتن جواب بهینه‌ی فازی مساله‌ی FFLP با قیود نامساوی فازی نمی‌تواند استفاده شود. هدف این مطالعه، شناسایی و اصلاح برخی اشتباهات در تعاریف، عملیات نمادگذاری و روش مقایسه فازی رویکرد جاری برای حل مساله‌ی FFLP با قیود نامساوی فازی است. بدین‌ترتیب، یک رویکرد اصلاح شده برای حل مساله‌ی FFLP با قیود نامساوی فازی پیشنهاد می‌شود. سرانجام، چندین مثال عددی برای مصور نمودن روش پیشنهادی ارایه می‌شود. پرونده مقاله

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3 - روش محاسباتی برای اعمال حسابی فازی روی اعداد فازی دو قطبی و کاربرد آن
فضل الله عباسی صالح شاکری

یک مجموعه فازی دو قطبی ابزاری قدرتمند برای به تصویر کشیدن فازی و عدم اطمینان است. این مدل نسبت به مدل فازی انعطاف پذیر و کاربردی تر است. ما مفاهیم خاصی را تعریف می کنیم ، از جمله یک عدد فازی دو قطبی و اعمال حسابی مقدماتی فازی دو قطبی. در این مقاله، اعمال حسابی فازی جدید چکیده کامل

یک مجموعه فازی دو قطبی ابزاری قدرتمند برای به تصویر کشیدن فازی و عدم اطمینان است. این مدل نسبت به مدل فازی انعطاف پذیر و کاربردی تر است. ما مفاهیم خاصی را تعریف می کنیم ، از جمله یک عدد فازی دو قطبی و اعمال حسابی مقدماتی فازی دو قطبی. در این مقاله، اعمال حسابی فازی جدید براساس انتقال-میانگین از عباسی و همکارانش [۱،۲] روی اعدادفازی دوقطبی پیشنهاد می کنیم. اعدادفازی دوقطبی-۲ و برش آنها را تعریف می کنیم . در مورد خواص این اعمال پیشنهادی و کیفیت های اساسی آنها به تفصیل بحث شده است. چندین مثال مصور برای نشان دادن موفقیت و توانایی روش پیشنهادی ارائه شده است. در پایان نشان داده می شود که اعمال پیشنهادی در مقایسه با سایر روش ها واقع بینانه تر است ، یعنی تکیه گاه کوچکتری دارند. علاوه بر این ، ما رویکرد جدید خود را برای یافتن حل معادلات خطی فازی دو قطبی، تجزیه و تحلیل می کنیم.در این مقاله سعی شده است علاوه بر آشنایی با حساب اعداد فازی بر پایه انتقال میانگین و ارائه راه حل های عملی برای انجام محاسبات در حالت های خاص، مشکلات موجود در این راه مشخص شود. پرونده مقاله

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4 - خواص ساختاری ضرب خارجی اعداد فازی و کاربردهای آن
رباب علیخانی

در حساب اعداد فازی، عمل ضرب و جمع بر اساس اصل توسیع زاده بنا نهاده شده است. این ضرب از دیدگاه نظری و عملی دارای چندین خاصیت غیرطبیعی است. برای غلبه بر چنین معایبی اخیراً یک عمل ضرب جدید با عنوان ضرب خارجی ارائه شده است. مزیت اصلی این ضرب این است که شکل اعداد فازی مثلثی چکیده کامل

در حساب اعداد فازی، عمل ضرب و جمع بر اساس اصل توسیع زاده بنا نهاده شده است. این ضرب از دیدگاه نظری و عملی دارای چندین خاصیت غیرطبیعی است. برای غلبه بر چنین معایبی اخیراً یک عمل ضرب جدید با عنوان ضرب خارجی ارائه شده است. مزیت اصلی این ضرب این است که شکل اعداد فازی مثلثی و ذوزنقه‌ای تحت ضرب خارجی حفظ می‌شود و از دیدگاه محاسباتی خیلی کاربردی تر از ضرب معمولی است. بنابراین ضرب خارجی دو عدد فازی می‌تواند یک انتخاب دیگر به جای ضرب معمولی بدست آمده از اصل توسیع زاده، در مسائل کاربردی باشد. هدف این مقاله، ارائه‌ی فرمولی صریح برای ضرب خارجی اعداد فازی مثلثی بر اساس ضرب اسکالر اعداد فازی و سپس با استفاده از آن فرمولی برای طول ضرب خارجی دو عدد فازی مثلثی و مشتق ضرب خارجی دو تابع فازی مثلثی است. همچنین در این مقاله رابطه‌ی بین هسته ضرب خارجی و معمولی اعداد فازی بیان شده است. در نهایت، به عنوان یک کاربرد، مفهوم ضرب خارجی در معادلات دیفرانسیل خطی مرتبه‌ی اول با ضرایب متغییر فازی بکار برده شده و جواب‌های مثلثی آن تحت مشتق‌پذیری تعمیم یافته بدست آورده می‌شود.‌ چندین مثال برای بیان کارایی نتایج نظری و مقایسه با روش&lrm;‌های پیشین آورده می‌شود. پرونده مقاله

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5 - طراحی شبکه زنجیره تأمین با تقاضای چند حالته مبتنی بر درجه پذیرش نقض محدودیت های فازی
علی محمودی راد

این مقاله به طراحی یک مدل ریاضی در شرایط فازی برای مسأله طراحی شبکه زنجیره تأمین که شامل تولیدکنندگان، توزیع کنندگان و مشتری است، می پردازد. هرکدام از تولیدکنندگان و توزیع کنندگان به ترتیب دارای چندین سطح ظرفیت برای تولید و توزیع هستند. همچنین برای تقاضای هر مشتری چند ح چکیده کامل

این مقاله به طراحی یک مدل ریاضی در شرایط فازی برای مسأله طراحی شبکه زنجیره تأمین که شامل تولیدکنندگان، توزیع کنندگان و مشتری است، می پردازد. هرکدام از تولیدکنندگان و توزیع کنندگان به ترتیب دارای چندین سطح ظرفیت برای تولید و توزیع هستند. همچنین برای تقاضای هر مشتری چند حالت برای تأمین تقاضای مشتریان پیشنهاد می گردد و تنها یکی از این حالت های تقاضای مشتریان باید برآورده شود. با در نظر گرفتن درجه پذیرش نقض محدودیت های فازی، این مقاله روشی برای حل مسأله طراحی شبکه زنجیره تأمین با تقاضای چند حالته با پارامترهای فازی ذوزنقه ای پیشنهاد می دهد. برای این منظور یک رابطه ترتیبی برای اعداد فازی ذوزنقه ای با استفاده از مقدار انتظار بازه ای پیشنهاد می شود. بر طبق این رابطه ترتیب، مسأله زنجیره تأمین فازی به یک مسأله زنجیره تأمین بازه ای تبدیل شده و سپس با ترکیب رابطه ترتیب بین بازه‌ها و درجه پذیرش نقض محدودیت های فازی، به یک مسأله دو هدفه تبدیل می شود و این مسأله دو هدفه با روش معیار جامع حل می شود. سرانجام به منظور کارایی مدل و روش حل پیشنهادی چندین مسأله در ابعاد مختلف حل شده است. پرونده مقاله

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6 - Solving Fuzzy Integral Equations of the Second Kind by using the Reproducing Kernel Hilbert Space Method
صدیقه فرزانه جوان سعید عباسبندی محمدعلی فریبرزی عراقی

In this study, a new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second kind fuzzy linear integral equations. For this purpose, at first by applying the concept of parametric form, the fuzzy integral equat چکیده کامل

In this study, a new approach based on the Reproducing Kernel Hilbert Space Method is proposed to approximate the solution of the second kind fuzzy linear integral equations. For this purpose, at first by applying the concept of parametric form, the fuzzy integral equation is converted to a system of crisp integral equations. Then, this system is solved by using the reproducing kernel method free of the Gram-Schmidt orthogonalization process. Also, two numerical algorithms are proposed based on applying the Gram-Schmidt process and without using it. The general form of numerical solution accordingly the reproducing kernel method is introduced and the convergence theorem of solution of the proposed scheme to the exact solution is proved. Finally, a sample fuzzy integral equation is solved by means of both suggested algorithms and the results are compared for differents points and levels. Due to the difficulties in applying the Gram-Schmidt process, the obtained results of the new algorithm are satisfactory. پرونده مقاله

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7 - برآورد پارامترهای فازی از طریق شبکه‌های عصبی فازی با استفاده از داده‌های ذوزنقه‌ای
راضیه نادرخانی محمد حسن بهزادی طاهره رزاق نیا رحمان فرنوش

رگرسیون فازی یک مدل رگرسیونی تعمیم یافته است که نشان دهنده ارتباط متغیرهای مستقل و وابسته در محیط فازی می‌باشد. تجزیه و تحلیل رگرسیون خطی فازی تعمیم مدل‌های رگرسیونی است که با استفاده از تمامی داده‌ها بر اساس یک معیار خاص مناسب می‌باشد. در این مقاله یک سیستم استنتاج فاز چکیده کامل

رگرسیون فازی یک مدل رگرسیونی تعمیم یافته است که نشان دهنده ارتباط متغیرهای مستقل و وابسته در محیط فازی می‌باشد. تجزیه و تحلیل رگرسیون خطی فازی تعمیم مدل‌های رگرسیونی است که با استفاده از تمامی داده‌ها بر اساس یک معیار خاص مناسب می‌باشد. در این مقاله یک سیستم استنتاج فازی عصبی تطبیقی (انفیس)برای تجزیه و تحلیل و پیش بینی یک تابع رگرسیون فازی غیر پارامتری با ورودی‌های غیر فازی و خروجی‌های فازی ذوزنقه‌ای متقارن استفاده می‌شود. بدین منظور، یک الگوریتم جدید هیبریدی پیشنهاد می‌شود که در آن حداقل مربعات فازی و برنامه‌نویسی خطی برای بهینه‌سازی وزن‌های ثانویه مورد استفاده قرار می‌گیرند. الگوریتم‌ها به روش اعتبارسنجی چند لایه برای تأیید اعتبار مدل ها اعمال میشود. به طور دقیق‌تر، دقت الگوریتم‌ها با شبیه‌سازی ها به طورکامل تایید می‌شود. در نهایت برای بررسی کارایی مدل از دو مثال شبیه سازی استفاده شده است که در آن، داده ها به صورت اعداد ذوزنقه ای تعریف شده اند و با آموزش آنها و مشخص کردن تعداد قوانین استفاده شده، پارامترهای مجهول برآورد شده اند. پرونده مقاله

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8 - مدل تحلیل پوششی داده های ترکیبی برای حل مسائل تصمیم گیری با اعداد GTHF
طیبه رضائی تازیانی مهناز برخورداری احمدی محمد رضا بلوچ شهریاری

اصولا عدم قطعیت در ذات و نهاد طبیعت جای دارد. برای مواجهه با عدم قطعیت و ابهام موجود در جهان واقعی، منطق دو ارزشی به تدریج جای خود را به منطق فازی داده است. این دیدگاه جدید، عدم قطعیت ناشی از تردید را مدیریت می کند، و در این نوع تصمیم گیری یکی از مسائل مهم جمع آوری اطلا چکیده کامل

اصولا عدم قطعیت در ذات و نهاد طبیعت جای دارد. برای مواجهه با عدم قطعیت و ابهام موجود در جهان واقعی، منطق دو ارزشی به تدریج جای خود را به منطق فازی داده است. این دیدگاه جدید، عدم قطعیت ناشی از تردید را مدیریت می کند، و در این نوع تصمیم گیری یکی از مسائل مهم جمع آوری اطلاعات فازی مردد و انتخاب گزینه بهینه است. اعداد فازی مردد ذوزنقه ای تعمیم‌یافته (&rlm;GTHF) که درجه عضویت آن‌ها توسط چندین عدد فازی ذوزنقه ای بیان می‌شود، برای حل مساله تصمیم‌گیری در زندگی واقعی نسبت به اعداد حقیقی مناسب تر است. در این مقاله، به مفهوم جدیدی به نام اعداد فازی مردد ذونقه ای تعمیم یافته و ترکیب آن با تحلیل پوششی داده ها می پردازیم. با استفاده از این اطلاعات مقادیر انحراف و امتیاز را به عنوان ورودی و خروجی مدل تحلیل پوششی داده های دو مرحله ای در نظر می گیریم، سپس از نتایج حاصل جهت ساخت ماتریس مقایسه زوجی استفاده کردیم و در نهایت واحد های تصمیم گیرنده را اولویت بندی نمودیم. برای استفاده از برخی از مفاهیم در روش تصمیم‌گیری پیشنهادی، ابتدا تعاریفی از مفاهیمی مانند تابع امتیاز و تابع انحراف از اعداد فازی مردد ذوزنقه‌ای تعمیم‌یافته را ارائه می‌دهیم. در نهایت، یک مثال عددی برای روش پیشنهادی جهت تایید و کاربردی بودن آن ارائه و نتیجه رتبه بندی را با روش های AP، TOPSIS با اعداد فازی مردد ذوزنقه ای تعمیم یافته و روش تجمع هندسی وزن دار در ]7[ مورد مقایسه قرار می‌دهیم. پرونده مقاله

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9 - بررسی مشتقات جهتی و جزئی نگاشت های چند بعدی فازی تحت مشتق پذیری تعمیم یافته
محسن میری کرباسکی محمدرضا بلوچ شهریاری ام البنین صداقت فر

مسائل مربوط به بهینه سازی فازی در مقالات اخیر با الهام از مفاهیم تفاضل هاکوهارای تعمیم یافته و مشتق پذیری هاکوهارای تعمیم یافته برای توابع یک بعدی از فضای R به توی E توسط نویسندگان زیادی مورد بحث قرار گرفته است و پیشرفت قابل ملاحظه ای داشته است. در این مقاله، مفهوم مشتق چکیده کامل

مسائل مربوط به بهینه سازی فازی در مقالات اخیر با الهام از مفاهیم تفاضل هاکوهارای تعمیم یافته و مشتق پذیری هاکوهارای تعمیم یافته برای توابع یک بعدی از فضای R به توی E توسط نویسندگان زیادی مورد بحث قرار گرفته است و پیشرفت قابل ملاحظه ای داشته است. در این مقاله، مفهوم مشتق پذیری تعمیم یافته کلی با استفاده از تفاضل تعمیم یافته از فضای R^n به توی E برای نگاشت های چند بعدی فازی، معرفی شده است. همچنین مشتق پذیری تعمیم یافته کلی فوق مورد بررسی قرار گرفته شده است و در ادامه مفهوم مشتق پذیری تعمیم یافته جهتی و مشتق پذیری تعمیم یافته جزئی برای نگاشت های چند بعدی فازی تعریف و به تفصیل بحث شده است، سپس مشتق پذیری تعمیم یافته جهتی و مشتق پذیری تعمیم یافته جزئی برحسب مشتق پذیری تعمیم یافته سطح به سطح بیان شده است. همچنین خواص و ارتباط بین آنها بحث شده است. در نهایت روابط بین مشتق پذیری تعمیم یافته کلی، مشتق پذیری تعمیم یافته جهتی و مشتق پذیری تعمیم یافته جزئی برای نشان دادن توانایی و قابلیت روابط بین آنها با ذکر چند مثال نشان داده شده است. پرونده مقاله

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10 - حل شبه تحلیلی معادله دیفرانسیل فازی پینلیو
محمد ادبی تبار فیروزجاه علی اصغر حسین زاده بهرام عاقلی سمانه محمدزاده فر

10.30495/jnrm.2021.15933

در این مقاله معادله دیفرانسیل پینلیو نوع اول را در نظر می گیریم که متغیر و ضرایب موجود حقیقی ولی مقادیر شرایط مرزی معلوم و عدد فازی هستند. هدف محاسبه جواب تقریبی برای آن می باشد. با توجه به فازی بودن شرایط مرزی بدیهی است که تابع جواب تقریبی باید یک تابع فازی باشد. برای چکیده کامل

در این مقاله معادله دیفرانسیل پینلیو نوع اول را در نظر می گیریم که متغیر و ضرایب موجود حقیقی ولی مقادیر شرایط مرزی معلوم و عدد فازی هستند. هدف محاسبه جواب تقریبی برای آن می باشد. با توجه به فازی بودن شرایط مرزی بدیهی است که تابع جواب تقریبی باید یک تابع فازی باشد. برای این منظور ابتدا با استفاده از اعمال حسابی روی داده های فازی با سه مولفه شاخص مرکزی، ابهام چپ و ابهام راست، معادله دیفرانسیل پینلیو را به سه دستگاه معادلات دیفرانسیل (شاخص مرکزی، ابهام چپ و ابهام راست) با داده های دقیق تبدیل می کنیم . در ادامه با استفاده از روش تمیمی و انصاری (TAM) ، جواب تقریبی هر یک از سه دستگاه معادلات دیفرانسیل تبدیل شده را محاسبه و به جواب تقریبی فازی از معادله دیفرانسیل پینلیو می رسیم. در پایان با ارائه یک مثال، مناسب بودن روش را با محاسبه خطا و همگرایی با یافتن جواب تقریبی نشان می دهیم. پرونده مقاله

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11 - مساله حمل و نقل کاملا فازی
آذر خشنوا محمدرضا مظفری

مسئله حمل و نقل، یک مساله برنامهریزی خطی است که حداقل هزینه را برای حمل یک محصول ازتعدادی مبدا به تعدادی مقصد از قبیل کارخانه به انبار یا انبار به سوپر مارکت لحاظ میکند. برای حل این مساله الگوریتم سیمپلکس درنظر گرفته شده است. در  پروژه های عملی هزینه و مق چکیده کامل

مسئله حمل و نقل، یک مساله برنامهریزی خطی است که حداقل هزینه را برای حمل یک محصول ازتعدادی مبدا به تعدادی مقصد از قبیل کارخانه به انبار یا انبار به سوپر مارکت لحاظ میکند. برای حل این مساله الگوریتم سیمپلکس درنظر گرفته شده است. در  پروژه های عملی هزینه و مقدار عرضه و تقاضا اعداد فازی هستند و انتظار می رود جوابهای بهینه که مقدار کالایی که از مبدا به مقصد  را تعیین می کند، به صورت فازی تعیین شود بنابراین در ابتدا ایده در شرایط کاملا فازی و سپس الگوریتمی که  اولویت بندی برای حل چنین مساله ای  است  ارائه  می شود. در این مقاله الگوریتمی جدید برای حل مسائل حمل و نقل در حالت کاملا فازی پیشنهاد می شود.  این الگوریتم، مسالهی حمل و نقل در حالت کاملا فازی را به  یک مساله سه هدفه تبدیل و سپس از روش وزن دار شده  در حل مسائل چندهدفه استفاده می کند و سپس  مسالهی جدید را با روش سیمپلکس حل میکند. در خاتمه روش پیشنهادی برای داده های واقعی استفاده می شود. پرونده مقاله

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12 - رتبه بندی مجدد اعداد فازی LR و کاربرد آن در برنامه ریزی ریاضی فازی
الهام دربان جعفری رقیه چامه سید هادی ناصری

در دو دهه اخیر، رتبه بندی کمیتهای فازی یک طیف وسیعی از مطالعات در حوزه نظریه مجموعه های فازی را به خود اختصاص داده است. در بسیاری از مواقع، همچون برنامه ریزی ریاضی فازی تصمیم گیرنده نیازمند آن است که برای انعکاس نظر خود از اعداد فازی نوع LR استفاده ک چکیده کامل

در دو دهه اخیر، رتبه بندی کمیتهای فازی یک طیف وسیعی از مطالعات در حوزه نظریه مجموعه های فازی را به خود اختصاص داده است. در بسیاری از مواقع، همچون برنامه ریزی ریاضی فازی تصمیم گیرنده نیازمند آن است که برای انعکاس نظر خود از اعداد فازی نوع LR استفاده کند. ولی در بیشتر روشهایی که برای رتبه بندی اعداد فازی ارائه شده است، نویسندگان نوع خاصی از اعداد فازی را مثل اعداد فازی مثلثی، ذوزنقهای و یا موارد مشابه را در نظر گرفتهاند. ولی تا آنجا که ما میدانیم در خصوص اعداد فازی نوع LR مطالعات کمی صورت گرفته است. از اینرو، در این مقاله روی این نوع اعداد متمرکز میشویم و یک رویکرد جدید برای رتبه بندی آنها به عنوان تعمیمی از روشی که توسط ناصری در مرجع  ارائه داده است پیشنهاد میکنیم. برای اعتبار سنجی روش پیشنهاد شده، این روش براساس مثالهای متعارف نمایان شده در ادبیات موضوع مورد آزمون قرار خواهد گرفت. علاوه بر این، خاطر نشان میکنیم که روش پیشنهاد شده برای ارزیابی شرایط بهینگی در الگوریتم های سیمپلکس اولیه فازی، و الگوریتمهای دیگر مرتبط همچون الگوریتم سیمپلکس دوگان فازی، الگوریتم سیمپلکس دو مرحله ای فازی، مدلهای حمل و نقل فازی، و برنامه ریزی خطی بازهای فازی و موارد مشابه مفید خواهد بود. پرونده مقاله

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13 - A Data Envelopment Analysis Model with Triangular Intuitionistic Fuzzy Numbers
Seyed Ahmad Edalatpanah

DEA (Data Envelopment Analysis) is a technique for evaluating the relative effectiveness of decision-making units (DMU) with multiple inputs and outputs data based on non-parametric modeling using mathematical programming (including linear programming, multi-parameter p چکیده کامل

DEA (Data Envelopment Analysis) is a technique for evaluating the relative effectiveness of decision-making units (DMU) with multiple inputs and outputs data based on non-parametric modeling using mathematical programming (including linear programming, multi-parameter programming, stochastic programming, etc.). The classical DEA methods are developed to handle the information in the form of crisp number but have no capability in dealing with fuzzy information like triangular intuitionistic fuzzy numbers (TIFNs), which is flexible in reflecting the uncertainty and hesitation associated with the decision-makers’ opinion. In this paper, an extended model of DEA is proposed under the triangular intuitionistic fuzzy environment where the inputs and outputs of DMUs are TIFNs. At first, the definition and characteristics of a classical model of DEA and the comparative TIFNs are introduced. In addition, a new ranking function considering the interaction between membership and non-membership values of different intuitionistic fuzzy sets are defined. Then, the triangular intuitionistic DEA model is proposed. Finally, the new approach is illustrated with the help of a numerical example. پرونده مقاله

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14 - Estimate Output of a Production Unit in Production Possibility Set with Fuzzy Inference Mechanism
Mohamad Adabitabar firozja Mohamad Adabi firozjaei Mousa Eslamian

In this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. Our goal is to estimate the output of a same and new production unit چکیده کامل

In this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. Our goal is to estimate the output of a same and new production unit with existing production possibility and amount of input is specified. So, initially we find the interval changes of each inputs and outputs and then partitioning each interval with fuzzy numbers. We use each of the possible to produce with specific inputs and outputs the fuzzy if-then rules and estimate the amount of outputs with mamdany method in fuzzy inference mechanism. In the end, we present an example of implementation. پرونده مقاله

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15 - Ranking DMUs by New Metric DTM with Fuzzy Data in DEA
Reza Shahverdi

Technique of Data Envelopment Analysis, involved methods which conducted for desirable objective management of Decision Making unit, that is same increasing of efficiency level. An important topic in DEA interpretation is the ranking of DMUs. There exist many methods fo چکیده کامل

Technique of Data Envelopment Analysis, involved methods which conducted for desirable objective management of Decision Making unit, that is same increasing of efficiency level. An important topic in DEA interpretation is the ranking of DMUs. There exist many methods for it in crisp DEA. In this paper we use of the new metric DTMF that proposed by T.Allahviranloo and M.Adabitabar for fuzzy ranking of all DMUs. پرونده مقاله

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16 - A New Method for Ranking Fuzzy Numbers By the Center Of ‎Mass‎
H. Hadi Momenseraee M. Afshar Kermani

In this paper , we present the first moment has been defined based on the center of mass from the fuzzy number, then with calculating area between the center of mass, a new ranking method has been proposed. At last we present some numerical examples to illustrate our pr چکیده کامل

In this paper , we present the first moment has been defined based on the center of mass from the fuzzy number, then with calculating area between the center of mass, a new ranking method has been proposed. At last we present some numerical examples to illustrate our proposed method, then comparing with distance index ranking method. پرونده مقاله

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17 - Solving ‎F‎ully Fuzzy Dual Matrix System With Optimization Problem
F. Babakordi M. S. Adabitabar Firozja

In this paper, the fuzzy dual matrix system as AX + B = CX + D in which A, B, C, D, X are LR fuzzy matrices is studied. At first we solve 1-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in seve چکیده کامل

In this paper, the fuzzy dual matrix system as AX + B = CX + D in which A, B, C, D, X are LR fuzzy matrices is studied. At first we solve 1-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in several cases. The spreads are obtained by using multiplication, quasi norm and minimization problem with a special objective function. We prove some theorems and we suggest conditions in which the fuzzy dual matrix system of AX + B = CX + D and the fuzzy matrix system of (A -H C)X = (D - H B) have the same LR fuzzy solution and we discuss about the conditions where LR fuzzy dual matrix system has crisp solution. Finally numerical examples are solved to illustrate the ability, accuracy and capability of the proposed method. پرونده مقاله

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18 - Application of ‎F‎uzzy Bicubic Splines Interpolation for Solving ‎T‎wo-Dimensional Linear Fuzzy Fredholm Integral ‎Equations‎‎
H. &lrm;Nouriani&lrm; R. &lrm;Ezzati&lrm;&lrm;&lrm;

&lrm;In this paper&lrm;, &lrm;firstly&lrm;, &lrm;we review approximation of fuzzy functions&lrm; &lrm;by fuzzy bicubic splines interpolation and present a new approach&lrm; &lrm;based on the two-dimensional fuzzy splines interpolation and&lrm; &lrm;iterative method to a چکیده کامل

&lrm;In this paper&lrm;, &lrm;firstly&lrm;, &lrm;we review approximation of fuzzy functions&lrm; &lrm;by fuzzy bicubic splines interpolation and present a new approach&lrm; &lrm;based on the two-dimensional fuzzy splines interpolation and&lrm; &lrm;iterative method to approximate the solution of two-dimensional&lrm; &lrm;linear fuzzy Fredholm integral equation (2DLFFIE)&lrm;. &lrm;Also&lrm;, &lrm;we prove&lrm; &lrm;convergence analysis and numerical stability analysis for the&lrm; &lrm;proposed numerical algorithm&lrm;. &lrm;Finally&lrm;, &lrm;by an example&lrm;, &lrm;we show the&lrm; &lrm;efficiency of the proposed &lrm;method.&lrm; پرونده مقاله

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19 - New ‎A‎rithmetic Operations on Developed Parabolic Fuzzy Numbers and Its Application‎
F. Abbasi

In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in &lrm;[F. Abbasi &lrm;et al.,&lrm; A new attitude coupled with fuzzy thinking to fuzzy ring چکیده کامل

In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in &lrm;[F. Abbasi &lrm;et al.,&lrm; A new attitude coupled with fuzzy thinking to fuzzy rings and fields, &lrm;&lrm;&lrm;Journal of Intelligent and Fuzzy Systems, 2015&lrm;&lrm;]&lrm;&lrm; in its rudimentary form and was finally presented in its fully-fledged form in &lrm;[&lrm;F. Abbasi &lrm;et al.,&lrm; A new and efficient method for elementary fuzzy arithmetic operations on &lrm;&lrm;&lrm;pseudo-geometric fuzzy numbers, Journal of Fuzzy Set Valued Analysis, 2016&lrm;&lrm;]&lrm;. The major advantage of these operations is that they findings are closer to reality than extension principle-based fuzzy arithmetic operations (in the domain of the membership function) or interval arithmetic (in the domain of $\alpha$-cuts). A technical example is given to illustrate applying the method. The proposed method can model and analyze the fuzzy system reliability in a more flexible and intelligent manner in comparison with the other &lrm;methods.&lrm; پرونده مقاله

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20 - A New Approach for Solving Fully Fuzzy Bilevel Linear Programming Problems
S. F. Tayebnasab F. Hamidi M. Allahdadi

This paper addresses a type of fully fuzzy bilevel linear programming (FFBLP) wherein all the coefficients and decision variables in both the objective function and constraints are triangular fuzzy numbers. This paper proposes a new simple-structured, efficient method f چکیده کامل

This paper addresses a type of fully fuzzy bilevel linear programming (FFBLP) wherein all the coefficients and decision variables in both the objective function and constraints are triangular fuzzy numbers. This paper proposes a new simple-structured, efficient method for FFBLP problems based on crisp bilevel programming that yields fuzzy optimal solutions with unconstraint variables and parameters. some examples have been provided to illustrate these methods. پرونده مقاله

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21 - Identification and ‎R‎anking Effective Factors in Increasing Personnel Satisfaction with Intuitionistic Fuzzy Data in Steel and Rolling Unit of Saba (Mobarakeh Steel ‎Company)
E. Asghariz&lrm;adeh M. Lotfi M. &lrm;Hosseinzadeh&lrm; H. Amoozad Mahdiraji S. Salahshour&lrm;

The main purpose of this study was to investigate employees and managers’ satisfaction of transportation system in the steal and rolling Units of Saba in Mobarakeh Steel Company using the intuitionistic fuzzy data. The statistical population included the personnel چکیده کامل

The main purpose of this study was to investigate employees and managers’ satisfaction of transportation system in the steal and rolling Units of Saba in Mobarakeh Steel Company using the intuitionistic fuzzy data. The statistical population included the personnel of Saba Steel and Rolling Units from Mobarakeh Steel Company including 1800 people. پرونده مقاله

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22 - A Limited Version of Crout Decomposition Method for Solving of Fuzzy Complex Linear ‎Systems
M. Ghanbari

In this paper, it is shown that &lrm;the solution vector obtained by the classic Crout decomposition method is not an algebraic solution of a fuzzy complex linear system&lrm;. Here&lrm;, &lrm;we propose a limited version of the mentioned method to obtain an algebraic so چکیده کامل

In this paper, it is shown that &lrm;the solution vector obtained by the classic Crout decomposition method is not an algebraic solution of a fuzzy complex linear system&lrm;. Here&lrm;, &lrm;we propose a limited version of the mentioned method to obtain an algebraic solution of a fuzzy complex linear system (if it exists)&lrm;. &lrm;Two numerical examples are presented to show ability and reliability of our method. پرونده مقاله

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23 - Introducing a ‎Revised ‎‎‎Approach for Ranking Fuzzy Numbers by Rank and Mode
Rahim Saneifard Rasoul Saneifard Mahsa Sabouri&lrm;&lrm;

10.30495/ijim.2018.19652

&lrm;Many methods for ranking fuzzy numbers have been proposed&lrm;. &lrm;The&lrm; &lrm;existing methods for ranking generalized fuzzy numbers based on&lrm; &lrm;the optimistic index $(\alpha) $ gives different values for&lrm; &lrm;comparing the numbers by using differe چکیده کامل

&lrm;Many methods for ranking fuzzy numbers have been proposed&lrm;. &lrm;The&lrm; &lrm;existing methods for ranking generalized fuzzy numbers based on&lrm; &lrm;the optimistic index $(\alpha) $ gives different values for&lrm; &lrm;comparing the numbers by using different values of the optimistic&lrm; &lrm;index $(\alpha)$ and it is the shortcoming of this method&lrm;. &lrm;So we&lrm; &lrm;introduce a new defuzzification using a crisp number for ordering&lrm; &lrm;and comparing the fuzzy numbers&lrm;. &lrm;The calculation of the proposed&lrm; &lrm;method is simpler and easier in comparison the other methods and&lrm; &lrm;it provides the correct ordering of generalized fuzzy numbers&lrm;. &lrm;It&lrm; &lrm;is shown that the proposed modification satisfies all the&lrm; &lrm;reasonable properties of fuzzy quantities (I) and (II) proposed by&lrm; &lrm;X&lrm;. &lrm;Wang&lrm;, &lrm;E&lrm;. &lrm;E&lrm;. &lrm;Kerre. پرونده مقاله

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24 - On the Approximate Solving of Dual Fuzzy Matrix Equations
Mohammad Asghari-Larimi Parastoo Reihani Mohsen Asghari-Larimi Shahriar Farahmand Rad.

In 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of th چکیده کامل

In 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of this paper is to eliminate this technical flaw and also correct some numerical results obtained by Gong et al.. پرونده مقاله

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25 - Resolution of Fuzzy Complex Systems of Linear Equations Via Wu's Method
H. Farahani M. Paripour

The aim of this paper is to present algebraic method which is called Wu's method to solving fuzzy complex systems of linear equations. Wu's method is used as a solution procedure for solving the crisp polynomial equations system. This algorithm leads to solving characte چکیده کامل

The aim of this paper is to present algebraic method which is called Wu's method to solving fuzzy complex systems of linear equations. Wu's method is used as a solution procedure for solving the crisp polynomial equations system. This algorithm leads to solving characteristic sets that are amenable to easy solution. To illustrate the easy application of the proposed method, numerical examples are given and the obtained results are discussed. پرونده مقاله

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26 - Fuzzy Assessment of Heavy Metal Pollution
Gh. Hesamian M. G. Akbari M. Shams

The present work is aimed to extend the common pollution indices into the fuzzy environment. For this purpose, a method was developed for converting the heavy metal contamination in soil by fuzzy numbers. Then, the most commonly used pollution indices are defined as fuz چکیده کامل

The present work is aimed to extend the common pollution indices into the fuzzy environment. For this purpose, a method was developed for converting the heavy metal contamination in soil by fuzzy numbers. Then, the most commonly used pollution indices are defined as fuzzy numbers by applying the alpha-cuts approach. To evaluate the degree of heavy metal contamination in a specific level, a degree of belonging was also suggested. پرونده مقاله

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27 - Fuzzy efficiency: Multiplier and enveloping CCR ‎models‎
A. A. Hosseinzadeh F. Hosseinzadeh Lotfi Z. Moghaddas

Comparing the performance of a set of activities or organizations under uncertainty environment has been performed by means of Fuzzy Data Envelopment Analysis (FDEA) since the traditional DEA models require accurate and precise performance data. As regards a method for چکیده کامل

Comparing the performance of a set of activities or organizations under uncertainty environment has been performed by means of Fuzzy Data Envelopment Analysis (FDEA) since the traditional DEA models require accurate and precise performance data. As regards a method for dealing with uncertainty environment, many researchers have introduced DEA models in fuzzy environment. Some of these models are solved by transforming fuzzy models into their crisp counterparts. In this paper applying a fuzzy metric and a ranking function, obtained from it, the multiplier fuzzy CCR model converts to its crisp counterpart. Solving this model yields the optimal solution of fuzzy multiplier model. Moreover, in the following some properties and theorems about mentioned enveloping and multiplier models have been &lrm;proved.&lrm; پرونده مقاله

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28 - The fuzzy logic in air pollution forecasting ‎model
F. Abbasi

In the paper a model to predict the concentrations of particulate matter PM10, PM2.5, SO2, NO, CO and O3 for a chosen number of hours forward is proposed. The method requires historical data for a large number of points in time, particularly weather forecast data, actua چکیده کامل

In the paper a model to predict the concentrations of particulate matter PM10, PM2.5, SO2, NO, CO and O3 for a chosen number of hours forward is proposed. The method requires historical data for a large number of points in time, particularly weather forecast data, actual weather data and pollution data. The idea is that by matching forecast data with similar forecast data in the historical data set it is possible then to obtain actual weather data and through this pollution data. To aggregate time points with similar forecast data determined by a distance function, fuzzy numbers are generated from the forecast data, covering forecast data and actual data. Again using a distance function, actual data is compared with the fuzzy number to determine how the grade of membership. The model was prepared in such a way that all the data which is usually imprecise, chaotic, uncertain can be &lrm;used.&lrm; پرونده مقاله

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29 - A New Method for Comparing ‎Fuzzy‎ Quantities Based on Scaler ‎Value and Middle-Point of Fuzzy ‎Numbers
Rahim Saneifard Rasoul Saneifard

پرونده مقاله

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30 - Use of Fuzzy Numbers for Assessing Problem Solving ‎Skills‎
Michael Gr&lrm;.&lrm; Voskoglou&lrm; S. N. Mishra

&lrm;The importance of Problem Solving (PS) has been realized for such a long time that in a direct or indirect way affects our daily lives in many ways&lrm;. &lrm;Assessment cases appear frequently for PS skills which involve a degree of uncertainty and (or) ambiguity& چکیده کامل

&lrm;The importance of Problem Solving (PS) has been realized for such a long time that in a direct or indirect way affects our daily lives in many ways&lrm;. &lrm;Assessment cases appear frequently for PS skills which involve a degree of uncertainty and (or) ambiguity&lrm;. &lrm;Fuzzy logic&lrm;, &lrm;due to its nature of characterizing such cases with multiple values&lrm;, &lrm;offers rich resources for dealing with them&lrm;. &lrm;On the other hand&lrm;, &lrm;Fuzzy Numbers (FNs) play a fundamental role in fuzzy mathematics&lrm;, &lrm;analogous to the role played by the ordinary numbers in classical mathematics&lrm;. &lrm;In the present paper we utilize the two simplest forms of them&lrm;, &lrm;i.e&lrm;. &lrm;the Triangular and Trapezoidal FNs&lrm;, &lrm;together with the Centre of Gravity (COG) defuzzification technique as assessment tools for PS skills&lrm;. &lrm;Our results are illustrated by three examples in which the assessment outcomes of FNs are validated through their comparison with the corresponding outcomes of assessment methods of the bi-valued and fuzzy logic already tested in author's earlier works&lrm;. پرونده مقاله

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31 - The embedding method to obtain the solution of fuzzy linear systems
T. Allahviranloo A. Hashemi

In this paper, we investigate the general fuzzy linear system of equations. The main aim of this paper is based on the embedding approach. We ﬁnd the necessary and sufﬁcient conditions for the existence of fuzzy solution of the mentioned systems. Finally, Numerical exam چکیده کامل

In this paper, we investigate the general fuzzy linear system of equations. The main aim of this paper is based on the embedding approach. We ﬁnd the necessary and sufﬁcient conditions for the existence of fuzzy solution of the mentioned systems. Finally, Numerical examples are presented to more illustration of the proposed model. پرونده مقاله

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32 - SsT decomposition method for solving fully fuzzy linear systems
K. Jaikumar S. Sunantha

TheSST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We چکیده کامل

TheSST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We have considered a numerical example and tried to find out solution vector x in fuzzified form using method of SST decomposition. پرونده مقاله

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33 - On approximation of the ‎f‎ully fuzzy fixed charge transportation ‎problem
A. Mahmoodirad H. Hassasi&lrm; G. Tohidi M. Sanei

In the literature hardly any attention is paid to solving a fuzzy fixed charge transportation problem. In this paper, we consider the fully fixed-charge transportation problem and try to find both the lower and upper bounds on the fuzzy optimal value of such a problem i چکیده کامل

In the literature hardly any attention is paid to solving a fuzzy fixed charge transportation problem. In this paper, we consider the fully fixed-charge transportation problem and try to find both the lower and upper bounds on the fuzzy optimal value of such a problem in which all of the parameters are triangular fuzzy numbers. To illustrate the proposed method, a numerical example is &lrm;presented.&lrm; پرونده مقاله

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34 - Fully fuzzy linear programming with inequality constraints
SH. Nasseri E. Behmanesh F. Taleshian M. Abdolalipoor N. A. TaghiNezhad

Fuzzy linear programming problem occur in many elds such as mathematical modeling, Control theory and Management sciences, etc. In this paper we focus on a kind of Linear Programming with fuzzy numbers and variables namely Fully Fuzzy Linear Programming (FFLP) problem, چکیده کامل

Fuzzy linear programming problem occur in many elds such as mathematical modeling, Control theory and Management sciences, etc. In this paper we focus on a kind of Linear Programming with fuzzy numbers and variables namely Fully Fuzzy Linear Programming (FFLP) problem, in which the constraints are in inequality forms. Then a new method is proposed to ne the fuzzy solution for solving (FFLP). Numerical examples are providing to illustrate the method. پرونده مقاله

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35 - Evaluating the efficiency and classifying the fuzzy data: A DEA based ‎approach
S. Kordrostami G. Farajpour&lrm; M. Jahani Sayyad Noveiri

Data envelopment analysis (DEA) has been proven as an efficient technique to evaluate the performance of homogeneous decision making units (DMUs) where multiple inputs and outputs exist. In the conventional applications of DEA, the data are considered as specific numeri چکیده کامل

Data envelopment analysis (DEA) has been proven as an efficient technique to evaluate the performance of homogeneous decision making units (DMUs) where multiple inputs and outputs exist. In the conventional applications of DEA, the data are considered as specific numerical values with explicit designation of being an input or output. However, the observed values of the data are sometimes imprecise (i.e. input and output variables cannot be measured precisely) and data are sometimes flexible (measures with unknown status of being input or output are referred to as flexible measures in the literature). In the current paper a number of methods are proposed to evaluate the relative efficiency and to identify the status of fuzzy flexible measures. Indeed, the modified fuzzy DEA models are suggested to accommodate flexible measures. In order to obtain correct results, alternative optimal solutions are considered to deal with the fuzzy flexible measures. Numerical examples are used to illustrate the &lrm;procedure.&lrm; پرونده مقاله

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36 - Fuzzy number-valued fuzzy ‎relation
M. Adabitabar &lrm;Firozja&lrm; S. &lrm;Firouzian&lrm;

It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse an چکیده کامل

It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, interval fuzzy value fuzzy set or fuzzy number value fuzzy set, define of the fuzzy relation is different. Given a fuzzy relation, its domain and range are fuzzy number value fuzzy sets. In this paper, initially we define fuzzy number value fuzzy sets and then propose fuzzy number-valued fuzzy relation (FN-VFR). We also introduce property of reflexive, symmetric, transitive and equivalence relation of FN-VFR. As follow, we prove some theorems for FN-VFR with property of reflexive, symmetric and transitive. Also, we show examples for FN-&lrm;VFR.&lrm; پرونده مقاله

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37 - Another‎ Method for Defuzzification Based On Characterization of Fuzzy ‎Numbers
Rahim Saneifard

Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are defined as the middle-point and the spread of each $\gamma$-cut of a fuzzy numb چکیده کامل

Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are defined as the middle-point and the spread of each $\gamma$-cut of a fuzzy number, respectively. We use the value of a as the weight of the signal/noise ratio of each $\gamma$-cut of a fuzzy number to calculate the ranking index of each fuzzy number. The proposed method can rank any kinds of fuzzy numbers with different kinds of membership functions.&lrm; پرونده مقاله

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38 - A new attitude coupled with the basic thinking to ordering for ranking fuzzy ‎numbers
F. Abbasi&lrm; T. Allahviranloo S. Abbasbandy

&lrm;Ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. Moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. Selecting a good ranking meth چکیده کامل

&lrm;Ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. Moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. Selecting a good ranking method can apply to choosing a desired criterion in a fuzzy environment. There are numerous methods proposed for the ranking of fuzzy numbers, some of them seem to be good in a particular context but not in general. In this paper, a new attitude coupled with the basic thinking of ordering for ranking of fuzzy numbers is proposed. The properties of the proposed method are discussed in detail. The ranking results show that the proposed method can overcome certain shortcomings that exist in the previous ranking methods.The method also has very easy and simple calculations compared to other methods. Finally, numerical examples are presented to illustrate the advantage of our proposed method, and compare them with other common ranking methods. The future prospect of this paper is a new attitude to fuzzy distance, which will be referred to in the &lrm;end. پرونده مقاله

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39 - A new evaluation model for selecting a qualified manager by using fuzzy Topsis ‎approach
S. M. Hosseini&lrm;

Considering the contemporary business settings, managers’ role is more than essential to the viability and further development of an organization. Managers should possess such skills in order to effectively cope with the competition. Multiple attributes decision m چکیده کامل

Considering the contemporary business settings, managers’ role is more than essential to the viability and further development of an organization. Managers should possess such skills in order to effectively cope with the competition. Multiple attributes decision making (MADM) is an approach employed to solve problems involving selection from among a finite number of alternatives. The aim of this study is to develop a methodology to evaluate managers based on integrating fuzzy AHP and fuzzy TOPSIS approaches. In this paper, I have taken into consideration some important criteria which affect the process of managers selection. I have calculated the weights for each criterion based on Interval-valued fuzzy AHP and then inputted these weights to the fuzzy TOPSIS method to rank managers. The entire methodology is illustrated with the help of a numerical example and finally the rank of each managers is determined according to its results. The proposed method enables decision analysts to better understand the complete evaluation process and provide a more accurate, effective, and systematic decision support tool. Also, the proposed method provides a useful way for handling fuzzy TOPSIS based on fuzzy &lrm;numbers.&lrm;&lrm; پرونده مقاله

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40 - The Solution of Fully Fuzzy Quadratic Equations Based on Restricted ‎Variation
L. Gerami &lrm;Moazam

Firstly, in this paper, we apply the Fuzzy Restricted Variation Method to achieve an analytical and approximate unsymmetrical fuzzy solution for Fully Fuzzy Quadratic Equation. In this application, after finding the real root of 1-cut of $\tilde{A}\tilde{X}^{2}+\tilde{B چکیده کامل

Firstly, in this paper, we apply the Fuzzy Restricted Variation Method to achieve an analytical and approximate unsymmetrical fuzzy solution for Fully Fuzzy Quadratic Equation. In this application, after finding the real root of 1-cut of $\tilde{A}\tilde{X}^{2}+\tilde{B}\tilde{X}+\tilde{C}=\tilde{D}$, initial guess is always chosen with possible unknown parameters that leads to highly accurate solution. This technique is applying to solve mentioned equation in four cases via the sign of coefficients and variable that there is not zero in support of them and we solve the problems to find positive or negative solution. This method has been shown to solve effectively, easily and accurately a large class of nonlinear quadratic equations with approximations converging rapidly to accurate solution. In this paper we present the solutions in four cases with formulas, that can be used to write the algorithm for this technique. Finally to illustrate easy application and rich behavior of this method, several examples are &lrm;given.&lrm; پرونده مقاله

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41 - Another Method for Defuzzification Based on Regular Weighted ‎Point‎
Rasoul Saneifard Rahim Saneifard

&lrm;A new method for the defuzzification of fuzzy numbers is developed in this paper. It is well-known, defuzzification methods allow us to find aggregative crisp numbers or crisp set for fuzzy numbers. But different fuzzy numbers are often converted into one crisp num چکیده کامل

&lrm;A new method for the defuzzification of fuzzy numbers is developed in this paper. It is well-known, defuzzification methods allow us to find aggregative crisp numbers or crisp set for fuzzy numbers. But different fuzzy numbers are often converted into one crisp number. In this case the loss of essential information is possible. It may result in inadequate final conclusions, for example, expert estimation problems, prediction problems, etc. Accordingly, the necessity to develop a method for the defuzzification of fuzzy numbers, allowing us to save their informative properties has arisen. The purpose of this paper is to develop such a method. The method allows us to find aggregative intervals for fuzzy numbers. These intervals are called the Regular weighted intervals. We start with the definition of regular weighted points for fuzzy numbers. The regular weighted interval for fuzzy number is defined as the set of regular weighted points of all unimodal numbers, that belong to this number. Some propositions and examples about regular weighted point and regular weighted intervals properties are &lrm;offered.&lrm; پرونده مقاله

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42 - Using finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle
Seyed Majid Alavi

In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bou چکیده کامل

In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matrix. This linear system determines $r$-level of fuzzy solution at mesh points. By combining of this solutions, we obtain fuzzy solution of main problem at mesh points, approximately. Its applicabilityis illustrated by someexamples پرونده مقاله

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43 - Construction of α-cut fuzzy X control charts based on standard deviation and range using fuzzy triangular numbers
Ezzatollah Balouyi Jamkhaneh

Control charts are one of the most important tools in statistical process control that lead to improve quality processes and ensure required quality levels. In traditional control charts, all data should be exactly known, whereas there are many quality characteristics t چکیده کامل

Control charts are one of the most important tools in statistical process control that lead to improve quality processes and ensure required quality levels. In traditional control charts, all data should be exactly known, whereas there are many quality characteristics that cannot be expressed in numerical scale, such as characteristics for appearance, softness, and color. Fuzzy sets theory is a powerful mathematical approach to analyze uncertainty, ambiguous and incomplete that can linguistically define data in these situations. Fuzzy control charts have been extended by converting the fuzzy sets associated with linguistic or uncertain values into scalars regarded as representative values. In this paper, we study two different approaches to construct X ̅ control chart, when the observations are fuzzy number. Two methods of defuzzification for calculating the value representing sample means and for determining the control chart limits are presented. In the second approach α-cut control chart for variable are developed using upper control limits and lower control limits. The article also presents a fuzzy decision for in control or out of control of the process, in which membership degrees of in and out of control states of process mean is computed. پرونده مقاله

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44 - Poison process with fuzzy parameter
Abolfazl Saeidifar

This paper, introduces the fuzzy poisson process that plays an important role in the fuzzy sets and systems; specially, The spatial Poisson point process features prominently in spatial statistics, stochastic geometry, and continuum percolation theory. This point proces چکیده کامل

This paper, introduces the fuzzy poisson process that plays an important role in the fuzzy sets and systems; specially, The spatial Poisson point process features prominently in spatial statistics, stochastic geometry, and continuum percolation theory. This point process is appliedin various physical sciences such as a model developed for alpha particles being detected. In recent years, it has been frequently used to model seemingly disordered spatial configurations of certain wireless communication networks.For example, models for cellular or mobile phone networks have been developedwhere it is assumed the phone network transmitters, known as base stations, are positioned according to a homogeneous Poisson point process. پرونده مقاله

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45 - Approximation of the n-th Root of a Fuzzy Number by Polynomial Form Fuzzy Numbers
Majid Amirfakhrian

In this paper we introduce the root of a fuzzy number, and we present aniterative method to nd it, numerically. We present an algorithm to generatea sequence that can be converged to n-th root of a fuzzy number.

In this paper we introduce the root of a fuzzy number, and we present aniterative method to nd it, numerically. We present an algorithm to generatea sequence that can be converged to n-th root of a fuzzy number. پرونده مقاله

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46 - Interpolation of the tabular functions with fuzzy input and fuzzy output
Mehran Chehlabi

In this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. Then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a چکیده کامل

In this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. Then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a fuzzy function. Finally, to illustrate some numericalexamples are solved. پرونده مقاله

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47 - Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions
Abolfazl Saiedifar

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and چکیده کامل

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and optimizing engineering and economics problemsin a fuzzy environment. پرونده مقاله

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48 - New Generalized Interval Valued Intuitionistic Fuzzy Numbers
Ezzatallah Baloui Jamkhaneh A. Saeidifar

The aim of this paper is investigate the notion of a generalized interval valuedintuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIV چکیده کامل

The aim of this paper is investigate the notion of a generalized interval valuedintuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIVIFNBBs are investigated. Thenthe values and ambiguities of the membership degree and the non-membershipdegree and the value index and ambiguity index for GIVIFNs are dened.Finally, we develop a value and ambiguity-based ranking method. پرونده مقاله

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49 - New solution of fuzzy linear matrix equations
Mahmood Otadi

In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presen چکیده کامل

In this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel. پرونده مقاله

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50 - A method for solving fully fuzzy linear system
M. Mosleh S. Abbasbandy M. Otadi

In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzz چکیده کامل

In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting of m non-negative fuzzy numbers. پرونده مقاله

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51 - A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
S. Siah-Mansouri O. Solaymani Fard M. M. Gachpazan

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. چکیده کامل

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy dierential equationsdriven by Liu's process. پرونده مقاله

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52 - Numerical solution of fuzzy Hunter-Saxton equation by using Adomian decomposition and Homotopy analysis methods
Sh Sadigh behzadi

In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian'sdecomposition method (ADM) and homotopy analysis method (HAM). Theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a rec چکیده کامل

In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian'sdecomposition method (ADM) and homotopy analysis method (HAM). Theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. The existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. A numerical example is studied to demonstrate the accuracy ofthe presented methods.In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian'sdecomposition method (ADM) and homotopy analysis method (HAM). Theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. The existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. A numerical example is studied to demonstrate the accuracy ofthe presented methods. پرونده مقاله

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53 - Quality Function Deployment Method for Selection of Effective Management Tools on Setting EFQM Model
Seyed Masoud Seyedi Maryam Yeganeh Seyed Amin Nazem Sadat Arsenjani

Using the effective management tools that are relevant tothe organization’s needs for excellence has become so important for thecompanies to improve their performances and then increase customersatisfaction and gain market shares. Quality function deployment is an چکیده کامل

Using the effective management tools that are relevant tothe organization’s needs for excellence has become so important for thecompanies to improve their performances and then increase customersatisfaction and gain market shares. Quality function deployment is anefficient and powerful tool in design, development, and planning of products.The main function of quality function deployment is conversion ofVOC (voice of customer) to technical characteristics (here organizationsupposed as customer). This study propose a 9-step HOE(House Of Excellence)model, which is basically a QFD model, and present the useof symmetrical triangular fuzzy numbers(STFNs) to reflect the vaguenessin 30 experts’ linguistic assessments. The model of this research has been tested by means of a real case (Joundy Shapoor Company),finding the relationship between 15 categories of management tools withfive EFQM enabler criteria based on the quality function deploymentapproach to determine for Joundy Shapoor Company the effective managementtools to reach excellence. And also the test of the hypothesis ofthis research has been done by using spearman correlation coefficient. پرونده مقاله

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54 - Evaluation Criteria for Selecting Suppliers in the Field of Research With Fuzzy Multi-Criteria Approach
Hamidreza Feili Sina Namazi Jamshid Karimi Mohammad-Javad Sadeghi

Abstract. Today, there is no specific method or criterion for selecting contractors in the researches’ field. Usually this selection is regarded as a matter of taste and as a result, there is no coordinated approach in the mentioned domain. Sometimes, after signin چکیده کامل

Abstract. Today, there is no specific method or criterion for selecting contractors in the researches’ field. Usually this selection is regarded as a matter of taste and as a result, there is no coordinated approach in the mentioned domain. Sometimes, after signing the contract, the inappropriate selection became clear. The managers are in direct need of a pattern for selecting the contractors. In the present research, the evaluation indexes of knowledge developers such as universities, knowledge-based companies, and research centers have been studied. For clarifying the process of the selection and by the help of the fuzzy TOPSIS method, we have considered four indexes as the general ones: 1) the price 2) the quality 3) the delivery time and 4) the work experiences. Finally, for better understanding, we have brought an example with 5 candidates and 5 determiners. پرونده مقاله

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55 - Fuzzy Multivariate Process Capability Index for Measuring Process Capability
Saeed Fayyaz Majid Ebrahimi Ali Gholi Nejad Devin

Abstract. In the case of process capability index several methods are identified. In this paper ,a new process capability index using fuzzy number and fuzzy probability concept, in order to remove the weakness of other famous method is suggested. After introduction of f چکیده کامل

Abstract. In the case of process capability index several methods are identified. In this paper ,a new process capability index using fuzzy number and fuzzy probability concept, in order to remove the weakness of other famous method is suggested. After introduction of fuzzy index in univariate case, fuzzy multivariate process capability index is investigated. Finally, this new method is compared to three well-known methods in literature review, with numerical example. پرونده مقاله

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56 - کاهش آلودگی‌های زیست محیطی در بهینه‌سازی زنجیره تأمین حلقه بسته با استفاده از برنامه ریزی عدد صحیح مختلط فازی
sayyed mohammad reza davoodi homa kalani

با افزایش حجم گاز های گلخانه ای وآلاینده ها و توجه روز افزون به مسائل محیط زیست، مدیران سازمانها و محققان در پی طراحی و راه اندازی شبکه هایی بر آمدند که علاوه بر بهینه سازی اقتصادی بر عوامل محیط زیستی و کاهش آلاینده ها در همه بخش ها تمرکزی ویژه داشته باشند. مقاله حاضر چکیده کامل

با افزایش حجم گاز های گلخانه ای وآلاینده ها و توجه روز افزون به مسائل محیط زیست، مدیران سازمانها و محققان در پی طراحی و راه اندازی شبکه هایی بر آمدند که علاوه بر بهینه سازی اقتصادی بر عوامل محیط زیستی و کاهش آلاینده ها در همه بخش ها تمرکزی ویژه داشته باشند. مقاله حاضر از نظر هدف کاربردی و از نظر روش، توصیفی پژوهشی است. در این مقاله یک مدل ریاضی دو هدفه به منظور طراحی زنجیره تامین حلقه بسته ارائه می شود. مدل ریاضی بر اساس معیار هایی از جمله تعداد محصول، تعداد محصول دوباره استفاده شده و تعداد قطعات تعریف شده است. همچنین یک روش حل پیشنهادی بر مبنای برنامه ریزی فازی مطرح شده و مدل فازی دو هدفه در نظر گرفته شده است. در گام بعد با استفاده از داده های موجود، مدل با استفاده از نرم افزار بهینه سازی GAMS آزمون می‌گردد. افزایش تقاضا منجر به افزایش شدید آلودگی های محیط زیستی می شود. لذا در این شرایط می‌توان ادعا نمود که افزایش و یا کاهش تقاضا تأثیر کاملاً شفافی روی کل هزینه های زنجیره دارد. پرونده مقاله

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57 - مقایسه ارزیابی عملکرد زنجیره تأمین با روش های BSC-FDEA و BSC-RDEA در صنایع خودرو سازی تبریز
SINA CHARTAB JABBARI kamaleddin rahmani youshanloui mohammad paseban yagoub Alavi matin Mojtaba Ramazani

10.30495/imj.2023.1968097.1799

با توجه به اهمیت موضوع کارایی در پیشبرد جوامع و جایگاهی که در سازمان های امروزی به خود اختصاص داده است، استفاده از ارزیابی عملکرد به ضرورتی گریز ناپذیری تبدیل شده است. در پژوهش حاضر ارزیابی عملکرد پنج زنجیره تأمین فعال با ساختار یکسان با هدف مقایسه نتایج مدل های ترکیبیR چکیده کامل

با توجه به اهمیت موضوع کارایی در پیشبرد جوامع و جایگاهی که در سازمان های امروزی به خود اختصاص داده است، استفاده از ارزیابی عملکرد به ضرورتی گریز ناپذیری تبدیل شده است. در پژوهش حاضر ارزیابی عملکرد پنج زنجیره تأمین فعال با ساختار یکسان با هدف مقایسه نتایج مدل های ترکیبیRDEA-BSC و FDEA-BSC در صنایع خودروسازی تبریز اجرا و داده‌های ورودی و خروجی به‌صورت اعداد فازی مثلثی متقارن و مجموعه اعداد ناهموار به مدل وارد شده و خروجی مدل ها نشان‌دهنده‌‌ عملکرد زنجیره‌‌ تأمین می‌باشد. از روش کارت امتیازی متوازن (BSC) به‌عنوان ابزاری برای طراحی شاخص‌های ارزیابی عملکرد در چهار جنبه؛ مالی، فرآیندها، مشتری و یادگیری و رشد نیروی انسانی استفاده شده است و همچنین نوع تحقیق کاربردی-توصیفی و ابزار اندازه‌گیری پرسشنامه، اسناد مالی و روش تجزیه و تحلیل اطلاعات نیز، مدل ریاضی FDEA،RDEA،BSC و تحلیل حساسیت می‌باشد. نتایج تحقیق نشان می‌دهد که میزان کارایی شرکت آمیکو در هر مدل از سایر شرکت‌های مورد مطالعه بیشتر می باشد پرونده مقاله

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58 - شاخص های ارزیابی جهت انتخاب تامین کنندگان حوزه تحقیقات براساس روش فازی چند معیاره
Sina Namazi Amir Sadeghi Mahmoud Modiri Zahra Gorajaghlo Shayan Satari

در حال حاضر معیار و روش مشخصی برای انتخاب پیمانکاران حوزه تحقیقات وجود ندارد و معمولاً این انتخاب به صورت سلیقه‌ای انجام می گردد، لذا رویکرد هماهنگی در این خصوص مشاهده نمی گردد و اغلب پس از عقد قرارداد مشخص می گردد که پیمانکار مورد نظر به درستی انتخاب نشده است. لذا لازم چکیده کامل

در حال حاضر معیار و روش مشخصی برای انتخاب پیمانکاران حوزه تحقیقات وجود ندارد و معمولاً این انتخاب به صورت سلیقه‌ای انجام می گردد، لذا رویکرد هماهنگی در این خصوص مشاهده نمی گردد و اغلب پس از عقد قرارداد مشخص می گردد که پیمانکار مورد نظر به درستی انتخاب نشده است. لذا لازم است برای تصمیم‌سازی در این حوزه الگویی ارائه شود که در انتخاب پیمانکاران به مدیران مربوطه کمک نماید.در واقع در این مقاله شاخص‌های ارزیابی تأمین‌کنندگان دانشی از جمله دانشگاه‌ها، شرکت‌های دانش‌بنیان و مراکز تحقیقاتی مورد بررسی قرار گرفته است و با در نظر گرفتن چهار شاخص : 1- قیمت 2- کیفیت 3- زمان تحویل 4- سابقه همکاری و عملکرد گذشته به عنوان معیارهای کلی برای انتخاب پیمانکار تحقیقاتی با استفاده از مدل TOPSISفازی به انتخاب تأمین کننده نهایی برای امر تحقیقات پرداخته‌ایم. در آخر یک مثال موردی با 5 کاندید و 4 تصمیم گیر برای روشن تر شدن موضوع آمده است. پرونده مقاله

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59 - ارایه الگویی جهت رتبه بندی پیمانکاران پروژه‌های عمرانی به روش PROMETHEE (مطالعه موردی: شهرداری منطقه 2 تهران)
Alireza Rashidi Komeijani Mostafa Bayatloo

هدف از این تحقیق، اولویت بندی و تعیین اوزان شاخص‌های موثر در انتخاب پیمانکار و همچنین رتبه بندی و انتخاب پیمانکار مناسب بوسیله روش PROMETHEE می‌باشد. از آنجائیکه در حوزه شهرداری‌ها پروژه های زیادی جهت اجرا تصویب می شود و اجرای این پروژه‌ها به عهده پیمانکار می‌باشد، انتخ چکیده کامل

هدف از این تحقیق، اولویت بندی و تعیین اوزان شاخص‌های موثر در انتخاب پیمانکار و همچنین رتبه بندی و انتخاب پیمانکار مناسب بوسیله روش PROMETHEE می‌باشد. از آنجائیکه در حوزه شهرداری‌ها پروژه های زیادی جهت اجرا تصویب می شود و اجرای این پروژه‌ها به عهده پیمانکار می‌باشد، انتخاب پیمانکار مناسب برای هر پروژه نیاز به بررسی‌های دقیق و کارشناسانه‌ای دارد تا مدیریت را نسبت به هزینه‌ای که تحمل می‌کند از نظر اخذ تصمیم بهینه پشتیبانی نماید لذا در این تحقیق به منظور ارزیابی و رتبه بندی پیمانکاران ابتدا با مطالعه پیشینه تحقیق و با بکارگیری نظرات خبرگان، بیست و هشت شاخص در ارتباط با انتخاب پیمانکاران شناسایی گردید. با توجه به شاخص‌های بدست آمده پرسشنامه‌ای جهت شناسایی شاخص‌های موثر با نمونه‌ای متشکل از 35 نفر از کارشناسان و مدیران لیسانس و بالاتر در شهرداری منطقه دو شهرداری شهر تهران توزیع و جمع آوری گردید. در ادامه برای بدست آوردن شاخص‌های موثر از غربال سازی و برای محاسبه وزن شاخص‌ها از روش توان افزایشی بردار ویژه استفاده گردید و در آخر پیمانکاران بوسیله روش PROMETHEE رتبه بندی گردیدند. پرونده مقاله

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60 - ارائه چارچوبی برای حل مسائل Dynamic MCDM در شرایط فازی (مطالعه موردی: اورژانس و تریاژ بیماران
alireza alinezhad

در مدلهای کلاسیک تصمیمگیری چندمعیاره، فرض بر این است که هنگام گرفتن یک تصمیم، تصمیم گیرنده مجموعه ثابتی از معیارها را از پیش تعریف و با تصویر روشنی از همه گزینه های موجود، گزینه های ثابتی را ارائه کرده است، سپس با محاسبه امتیاز هر گزینه و ایجاد یک رتبهبندی، در پایان گزی چکیده کامل

در مدلهای کلاسیک تصمیمگیری چندمعیاره، فرض بر این است که هنگام گرفتن یک تصمیم، تصمیم گیرنده مجموعه ثابتی از معیارها را از پیش تعریف و با تصویر روشنی از همه گزینه های موجود، گزینه های ثابتی را ارائه کرده است، سپس با محاسبه امتیاز هر گزینه و ایجاد یک رتبهبندی، در پایان گزینهای که دارای حداکثر امتیاز است را انتخاب میکند. اما در دنیای واقعی و شرایط پویا، تصمیم در یک محیط دائما در حال تغییر (پویا) گرفته میشود و گزینه های موجود در طی دورههای زمانی میتوانند تغییر کنند. این نوع تصمیم گیری که آن را تصمیم گیری پویا می نامیم در بسیاری از زمینه ها ازجمله نظامی، پزشکی، مدیریت، ورزش و موقعیتهای اورژانسی کاربرد دارد. این مقاله به ارائه چارچوبی انعطاف پذیر برای حل مسائل تصمیم گیری چندمعیاره پویا، براساس تئوری مجموعه-های فازی و روش ویکور میپردازد که به منظور ایجاد روشی عقلانی، علمی و سیستماتیک برای اولویتبندی بیماران در بخش اورژانس و تحت شرایط فازی انجام شده و در آن عدم قطعیت و ابهام فازی توسط متغیرهای زبانی (با اعداد فازی مثلثی) توصیف شده است. پرونده مقاله

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61 - Ranking the Generalized Fuzzy Numbers Based on the Center of the Area
Vahid Mohammadi Esmaeil Mehdizadeh Seyed Mojtaba Hejazi

In decision-making contexts marked by uncertainty, the application of fuzzy numbers has emerged as a crucial tool. These numbers offer a mathematical framework for representing imprecise information, enabling a more nuanced approach to decision-making. Fuzzy numbers fin چکیده کامل

In decision-making contexts marked by uncertainty, the application of fuzzy numbers has emerged as a crucial tool. These numbers offer a mathematical framework for representing imprecise information, enabling a more nuanced approach to decision-making. Fuzzy numbers find widespread application in quantifying the inherent uncertainty present in decision-making contexts. When incorporating fuzzy numbers into decision-making procedures, the necessity to compare these fuzzy numbers becomes an unavoidable occurrence. Ranking fuzzy numbers is a challenging topic. In this paper, we propose a new method for ranking generalized fuzzy numbers based on the center of the area concept. First, we present the concepts of the presented method. Additionally, the proposed method can rank symmetric fuzzy numbers relative to the y-axis easily. Then the advantages of the proposed method are illustrated through several numerical examples. The results demonstrate that this approach is effective for ranking generalized fuzzy numbers and overcomes the shortcomings in recent studies. Finally, we checked the result of the presented method with other existing methods. The results show that the presented method has consistent results with less computational complexity. پرونده مقاله

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62 - Developing Fuzzy Tool Capability Measurement System Analysis
Soroush Avakh Darestani Neda Ghane Yusof Ismail Azam Moradi Tadi

10.22094/joie.2019.1871392.1666

Due to the existing competitive environment of global economy, many companies allocate their major financial and human resources to quality improvement. Since, using measurement tool is an essential component in quality analysis and highly depends on quality of measurem چکیده کامل

Due to the existing competitive environment of global economy, many companies allocate their major financial and human resources to quality improvement. Since, using measurement tool is an essential component in quality analysis and highly depends on quality of measurement systems and their results; measurement systems applications after calibration are the most efficient methods in real operations. Thus, inherent changes of measurement tools can be studied by computing capability index of measurement tools. This paper aims to develop a fuzzy model for computing capability. Fuzzy model for computing capability (Cg ،Cgk) with data in the form of fuzzy triangular and trapezoidal numbers using MATLAB is developed and then a case study applying proposed method is presented. Finally, we compare presented results with classical outcomes and prove that fuzzy environment gives more flexibility, rather than classical environment. پرونده مقاله

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63 - Developing a Method for Increasing Accuracy and Precision in Measurement System Analysis: A Fuzzy Approach
Abolfazl Kazemi Hassan Haleh Vahid Hajipour Seyed Habib Rahmati

Measurement systems analysis (MSA) has been applied in different aspect of industrial assessments to evaluate various types of quantitative and qualitative measures. Qualification of a measurement system depends on two important features: accuracy and precision. Since چکیده کامل

Measurement systems analysis (MSA) has been applied in different aspect of industrial assessments to evaluate various types of quantitative and qualitative measures. Qualification of a measurement system depends on two important features: accuracy and precision. Since the capability of each quality system is severely related to the capability of its measurement system, the weakness of the two mentioned features can reduce the reliance on the qualitative decisions. Consequently, since in the literature fuzzy MSA is not considered as an independent study, in this paper, a fuzzy method is developed for increasing method accuracy and precision by encountering the impreciseness of some measures of MSA. To do so, bias, capability, and gauge repeatability and reproducibility (GR&R) indices are considered as triangular fuzzy numbers. The application of the proposed method is illustrated through a case study taken from an automotive parts industry. All rights reserved. پرونده مقاله

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64 - کاربرد برنامه ریزی چند هدفه فازی در توسعه یک مدل کنترل موجودی
محمد امین نایبی ناصر حمیدی عباس پناهی نیا حسام سعیدی

در این مقاله یک مدل کنترل موجودی چند کالایی با اهداف کمینه سازی هزینه کل و حداقل بکارگیری نیروی انسانی، تحت محدودیتهای حداکثر فضای انبار، حداکثر توان سرمایه گذاری، میزان کمبود مجاز در هر دوره و مقدار سفارش دوره ای ارائه می شود که دو محدودیت اخیر بصورت بازه ای در نظر گرف چکیده کامل

در این مقاله یک مدل کنترل موجودی چند کالایی با اهداف کمینه سازی هزینه کل و حداقل بکارگیری نیروی انسانی، تحت محدودیتهای حداکثر فضای انبار، حداکثر توان سرمایه گذاری، میزان کمبود مجاز در هر دوره و مقدار سفارش دوره ای ارائه می شود که دو محدودیت اخیر بصورت بازه ای در نظر گرفته شده است. در مدل ارائه شده کمبود مجاز بوده، زمان تدارک صفر و پارامترهای تقاضا، هزینه(شامل: راه اندازی، نگهداری، کمبود) و منابع محدودیتها بصورت فازی است. اعداد فازی تقاضا و هزینه بصورت مثلثی و اعداد منابع محدودیتها از نوع ذوذنقه ای مثبت می باشند. در حل مدل ابتدا هر یک از توابع هدف مورد نظر به سه تابع هدف تبدیل و محدودیتها از طریق روش نافازی سازی به محدودیتهای قطعی تبدیل میگردند. سپس مدل چند هدفه قطعی حاصل، از طریق روش برنامه ریزی غیر خطی فازی (FNLP) حل شده است. در پایان یک مثال عددی برای تشریح مدل با استفاده از نرم افزار لینگو (Lingo) حل و ارائه می شود. پرونده مقاله

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65 - Safety Risk Assessment; Using Fuzzy Failure Mode and Effect Analysis and Fault Tree Analysis
Mazdak Khodadadi-Karimvand Sara Taherifar

10.30495/tfss.2022.1954304.1016

The failure mode and effects analysis (FMEA) is a qualitative, Inductive and effective method for detecting errors, faults, and failures in a system and fuzzy logic can improve that technique with more logical outputs. Moreover, the fault tree analysis (FTA) as a probab چکیده کامل

The failure mode and effects analysis (FMEA) is a qualitative, Inductive and effective method for detecting errors, faults, and failures in a system and fuzzy logic can improve that technique with more logical outputs. Moreover, the fault tree analysis (FTA) as a probabilistic risk assessment method is among the effective technique for calculating the probability of errors, faults, failures, reliability and safety integrity level (SIL) verification resulting in certain events at higher levels. The FTA also detects the main causes of events in complicated systems. Although this technique appears to be time-consuming in systems with many diverse components, it is considered a powerful tool. In this paper, the fuzzy FMEA analyzes the failure modes in a hypothetical system. After that, the process with the highest risk is selected as the input of an FTA. According to the qualitative and quantitative analysis of FTAs, a series of corrective actions will be proposed to reduce the failure probability. پرونده مقاله

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66 - ارائه مدل مناسب جهت سنجش عملکرد کیفی دانشگاه‌ها: مطالعه موردی دانشگاه آزاد اسلامی واحد فیروزکوه
محمد حسین درویش متولی امیر غلام ابری محمود درویش متولی

در این مقاله، یک چارچوب ادغامی از تحلیل شبکه‌ای فازی و برنامه ریزی آرمانی برای گزینش نیازهای فنی[1] دانشجویان جهت دستیابی به عملکرد کیفی دانشگاه‌ها ارائه شده است. در این چارچوب برای استخراج ضرایب به کار رفته در مدل ریاضی از رویکرد فرآیند تحلیل شبکه‌ای فازی[2] استفاده شد چکیده کامل

در این مقاله، یک چارچوب ادغامی از تحلیل شبکه‌ای فازی و برنامه ریزی آرمانی برای گزینش نیازهای فنی[1] دانشجویان جهت دستیابی به عملکرد کیفی دانشگاه‌ها ارائه شده است. در این چارچوب برای استخراج ضرایب به کار رفته در مدل ریاضی از رویکرد فرآیند تحلیل شبکه‌ای فازی[2] استفاده شده است. در ضمن رویه ارائه شده قادر به در نظر گرفتن ماهیت اهداف مسأله می‌باشد. در این راستا، سایر اهداف طراحی همچون محدودیت منابع مالی، امکان پذیری تکنولوژیکی، میزان توسعه پذیری و درجه رقابتی بودن نیازهای فنی نیز لحاظ شده است. در نهایت، مدل آرمانی ارائه شده دربرگیرنده سطوح اهمیت نیازهای فنی با استفاده از متدلوژی فرایند تحلیل شبکه‌ای فازی، محدودیت بودجه، میزان امکان پذیری تکنولوژیکی، میزان توسعه پذیری و درجه رقابتی بودن یک نیاز به عنوان محدودیت‌های سیستمی برای تعیین آن دسته از نیازهای فنی است که در فاز طراحی باید مد نظر قرار گیرند. این چارچوب برای دانشگاه آزاد اسلامی واحد فیروزکوه به کار گرفته شده است. [1]- TRS: Technical Requirements [2]- Fuzzy-ANP: Fuzzy Analytic Network Process پرونده مقاله

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67 - New insight on solving fuzzy linear fractional programming in material aspects
SAPAN DAS Seyyed Ahamad Edalatpanah

Recently, Srinivasan [On solving fuzzy linear fractional programming inmaterial aspects, Materials Today: Proceedings, https://doi.org/10.1016/j.matpr.2019.04.209] proposed a method to solve fractional linear programmingproblem under fuzzy environment based on ranking a چکیده کامل

Recently, Srinivasan [On solving fuzzy linear fractional programming inmaterial aspects, Materials Today: Proceedings, https://doi.org/10.1016/j.matpr.2019.04.209] proposed a method to solve fractional linear programmingproblem under fuzzy environment based on ranking and decompositionmethods. Srinivasan also claimed that the proposed method solved fractionallinear programming problem with inequality and equality constraints. In thisnote, we point out that the paper entitled above suffers from certainmathematical mistakes for solving these problems. Hence, the mentionedmethod and example are not valid. Further the exact method is stated and solvedthe problem. پرونده مقاله

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68 - A New Approach for Solving Fuzzy Single Facility Location Problem Under L1 Norm
Nemat Allah Taghi-Nezhad Fatemeh Taleshian

10.30495/fomj.2023.1989898.1100

The location allocation problem is one of the most attractive optimization problems that is widely used in the real world. Therefore, any attempt to bring this problem closer to real-world conditions would be significant and useful. In this paper, we utilize fuzzy logic چکیده کامل

The location allocation problem is one of the most attractive optimization problems that is widely used in the real world. Therefore, any attempt to bring this problem closer to real-world conditions would be significant and useful. In this paper, we utilize fuzzy logic due to the uncertainty of parameters in the real world. That is the weights (the amounts of demands of customers) and variables (the coordinates of the optimal place) are both considered fuzzy numbers. If these variables are considered definitively, due to various conditions and reasons, it may not be possible to acquire land or build a facility center in it, so we also considered this variable in a fuzzy way and a facility center area was obtained, that certainly, the decision maker can find the right place more easily. To solve the fuzzy problem a new approach based on presenting the problem in the form of equivalent expressions is proposed. This equivalent problem is solved using fuzzy arithmetic. پرونده مقاله

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69 - Ishita Approach to Construct an Intuitionistic Fuzzy Linear Regression Model
Abdullah القدیمی

10.30495/fomj.2021.678780

To the best of our knowledge, there is only two approaches for constructing an intuitionistic fuzzy linear regression model (regression model in which all the variables and coefficients are considered as intuitionistic triangular fuzzy numbers). However, after a deep st چکیده کامل

To the best of our knowledge, there is only two approaches for constructing an intuitionistic fuzzy linear regression model (regression model in which all the variables and coefficients are considered as intuitionistic triangular fuzzy numbers). However, after a deep study, some mathematical incorrect assumptions have been considered in these approaches. Therefore, it is scientifically incorrect to use these approaches for general real-life data. Keeping the same in mind, in this paper, a new approach (named as Ishita approach) is proposed to construct an intuitionistic fuzzy linear regression model. The proposed approach overcomes the limitations of the existing approaches. It is fit for positive, negative or mixed of positive and negative datasets represented as symmetric or asymmetric intuitionistic triangular fuzzy numbers. Moreover, the constructed models of the proposed approach guarantee the homogeneity principle such that for symmetric intuitionistic fuzzy data, the constructed model is symmetric, i.e., the estimated model’s coefficients are symmetric intuitionistic fuzzy numbers. Furthermore, the proposed approach is illustrated with the help of a numerical example. پرونده مقاله

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70 - Triangular Fuzzy Numbers Multiplication: QKB method
Abdullah Al-Qudaimi Kuljeet Kaur Shahid Bhat

10.30495/fomj.2021.1934118.1032

Triangular Fuzzy numbers (TFNs) are vast and common representation of fuzzy data in applied sciences. Multiplication is a very indispensable operation for fuzzy numbers. It is necessary to decompose fuzzy systems such as fully triangular fuzzy regression models where th چکیده کامل

Triangular Fuzzy numbers (TFNs) are vast and common representation of fuzzy data in applied sciences. Multiplication is a very indispensable operation for fuzzy numbers. It is necessary to decompose fuzzy systems such as fully triangular fuzzy regression models where the unknown and unrestricted triangular fuzzy coefficients multiplied by known TFNs as data input. Tens of research works and application of triangular fuzzy regression have dealt with degenerated existing multiplication expressions. This paper highlighted the drawbacks of such expressions and propounded a simple method (named as QKB method). The method is a straightforward method where there is no exaggeration for multiplying two or more TFNs. It respects the trinity-order condition of a TFN where the number without it cannot be considered as a TFN. Besides, it is suitable for known and unknown multiplied TFNs with conserving homogeneity principle such that the resultant of two symmetric TFNs has to be symmetric either, to prove that a proposed new membership function for a TFN (named quantified membership function) has been used. Illustrative examples have shown the soundness of the proposed method and the drawbacks of existing expressions. Furthermore, its expression of multiplication is more efficient than other expression on the needs of computation. پرونده مقاله

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71 - A New Approach for Solving Intuitionistic Fuzzy Data Envelopment Analysis Problems
Francisco Javier Santos Arteaga Ali Ebrahimnejad Amir Zabihi

10.30495/fomj.2021.1938179.1033

Data envelopment analysis (DEA) is a mathematical technique based on linear programming applied to evaluate the efficiency of decision-making units dealing with multiple inputs and outputs. In classical DEA models, it is assumed that input and output data are accurate t چکیده کامل

Data envelopment analysis (DEA) is a mathematical technique based on linear programming applied to evaluate the efficiency of decision-making units dealing with multiple inputs and outputs. In classical DEA models, it is assumed that input and output data are accurate though real-world applications require considering inaccurate and ambiguous data. Moreover, linguistic forms may be intuitionistic in nature rather than fuzzy. We propose a novel approach to solve DEA models characterized by intuitionistic fuzzy data. The model is transformed into a linear programming problem with an intuitionistic fuzzy objective function, and an alphabetical technique is applied to solve it. The proposed approach is easy to implement, involving a lower number of calculations than more computationally demanding techniques introduced in the literature. It also provides a set of ranking results that are significantly correlated with those derived from the implementation of more complex techniques. Its applicability would allow to extend the analysis of intricate evaluation scenarios common to the standard DEA literature into intuitionistic fuzzy environments. پرونده مقاله

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72 - Efficiency of Extended Two-Stage Systems in Presence of Triangular Fuzzy Number
Manoochehr Ziyae Berentin Ghasem Tohidi Shabnam Razavyan Mahnaz Barkhordari Ahmadi

10.30495/fomj.2022.1946194.1050

In the real world, many systems are a combination of two stages that are connected with intermediate measures. In fact, intermediate measures are considered as the outputs of the first stage and the inputs of the second stage. To evaluate the efficiency of these system, چکیده کامل

In the real world, many systems are a combination of two stages that are connected with intermediate measures. In fact, intermediate measures are considered as the outputs of the first stage and the inputs of the second stage. To evaluate the efficiency of these system, network DEA (NDEA) models are presented. In some cases, these systems may have shared inputs, and also part of the intermediate measures will be allocated as inputs of second-stage. We also frequently deal uncertain information such as stochastic data, fuzzy data and so on. Therefore, in practice, it is not easy to obtain the exact values of these inputs and assign them to each of the stages and determine the use of the second stage of intermediate measures. Therefore, in this paper, we shall combine fuzzy DEA and NDEA models which introduce a model based on the multiplicative approach, the non-compensatory property of the multiplication operator and the cut procedure. These models calculate the cut interval of overall efficiency and efficiency of stages in the presence of triangular fuzzy numbers (TFNs) and specify the optimal portion of stages in the use of shared inputs and the portion of the second stage of intermediate measures. Furthermore, the product of the upper (the lower) bound of the cut of the stages efficiency is considered as the upper (the lower) bound overall efficiency. Finally, we will illustrate the proposed models by using a numerical example extracted from the extant literature. پرونده مقاله

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73 - A New Pythagorean Fuzzy Analytic Hierarchy Process Based on Interval-Valued Pythagorean Fuzzy Numbers
Shahid Bhat Akanksha Singh Abdullah Qudaimi

10.30495/fomj.2021.1940078.1037

The Analytic Hierarchy Process (AHP) is one of the most widely used techniques to determine the priority weights of alternatives from pairwise comparison matrices. Several fuzzy and intuitionistic fuzzy extensions of AHP have been proposed in the literature. However, th چکیده کامل

The Analytic Hierarchy Process (AHP) is one of the most widely used techniques to determine the priority weights of alternatives from pairwise comparison matrices. Several fuzzy and intuitionistic fuzzy extensions of AHP have been proposed in the literature. However, these extensions are not appropriate to present some real-life situations. For this reason, several researchers extend the AHP to the Pythagorean Fuzzy Analytic Hierarchy Process (PFAHP). In the existing methods, an interval-valued Pythagorean fuzzy pairwise comparison matrix is transformed into a crisp matrix. Then crisp AHP is applied to obtain the normalized priority weights from the transformed crisp matrix. However, it is observed that the transformed crisp matrix, obtained on applying the step of existing methods, violates the reciprocal propriety of pairwise comparison matrices, and the obtained normalized priority weights are the weights of non-pairwise comparison matrices. Therefore, this paper discusses the shortcomings of the existing method, and a modified method is proposed to overcome these shortcomings. Finally, based on a real-life decision-making problem, the superiority of the proposed method over the existing method is shown. پرونده مقاله

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74 - Exact Solutions of Fuzzy Linear System Equations
Mohammad Adabitabar Firozja Bahram Agheli

10.30495/fomj.2023.1987431.1085

Systems of simulations linear equations play major role in various areas such as mathematics, statistics, and social sciences. Since in many applications, at least some of the system’s parameters and measurements are represented by fuzzy rather than crisp numbers, چکیده کامل

Systems of simulations linear equations play major role in various areas such as mathematics, statistics, and social sciences. Since in many applications, at least some of the system’s parameters and measurements are represented by fuzzy rather than crisp numbers, therefore, it is important to develop mathematical models and numerical procedures that would appropriately treat general fuzzy linear systems and solve them. In this paper, a new method based on fuzzy operations approach for solving Fuzzy Linear System (FLS) is introduced. The related theorems are proved in details. Finally, the proposed method is illustrated by solving two numerical examples. پرونده مقاله

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75 - Uncertain Location of Network Structured Production Units
Azam Azodi Jafar Fathali Mojtaba Ghiyasi Tahere Sayar

10.30495/fomj.2024.2003769.1130

Facility location problems are one of the most important issues for healthcare organizations and centers to achieve social welfare and respond to customer needs. Proper distribution of health and treatment facilities in cities is vital to minimize costs and improve the چکیده کامل

Facility location problems are one of the most important issues for healthcare organizations and centers to achieve social welfare and respond to customer needs. Proper distribution of health and treatment facilities in cities is vital to minimize costs and improve the efficiency of health centers. The main contribution of the current article is dealing with the uncertainty issue in the p-median location-efficient problem. In this article, the p-median location problem along with network data envelopment analysis (Network DEA) is used in parallel mode to calculate the efficiency of health and treatment centers. In this issue, health centers are considered as parallel networks with two departments that operate independently. Due to the precision of the input and output values, triangular fuzzy numbers and the α-level fuzzy method have been used. The primary results that consider the uncertainty provide efficient solution and suggestions for the potential location of health centers in our case study. پرونده مقاله

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76 - Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications
Mohammad Hasan Abeda Sultana Nirmal Mitra

10.30495/fomj.2023.1994693.1110

Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy چکیده کامل

Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy numbers by (α,γ,β)-cut method. Some related properties of them are explored. Finally, picture fuzzy linear equations are solved by using these arithmetic operations. پرونده مقاله

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77 - A Novel Approach for Solving Linear Programming Problems with Intuitionistic Fuzzy Numbers
Ali Mahmoodirad

10.30495/fomj.2023.1995970.1113

The literature of linear programming problem with trapezoidal intuitionistic parameters is full of solution approaches which are mainly ranking function based. Use of ranking function in the solution approaches could be a weakness as different ranking functions mag give چکیده کامل

The literature of linear programming problem with trapezoidal intuitionistic parameters is full of solution approaches which are mainly ranking function based. Use of ranking function in the solution approaches could be a weakness as different ranking functions mag give different solutions. This paper, proposes a new solution approach without any ranking function for linear programming problem with trapezoidal intuitionistic parameters. For this aim, the trapezoidal intuitionistic fuzzy objective function is converted to a multi-objective function, and consequently, the problem is converted to a multi-objective crisp problem. As another contribution, in order to solve the obtained multi-objective problem for its efficient solutions, a new multi-objective optimization approach was developed and suited to the obtained multi-objective problem. The computational experiments of the study show the superiority of the proposed multi-objective optimization approach over the multi-objective optimization approaches of the literature. پرونده مقاله

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78 - Ridge Regression With Intuitionistic Fuzzy Input and Output‎: ‎A Parametric Approach
Zahra Behdani Majid Darehmiraki

Ridge regression is a model that is frequently used and has numerous effective applications‎, ‎particularly in the management of correlated factors in a multiple regression model‎. ‎Additionally‎, ‎multicollinearity poses a significant risk in fuzzy regression models wh چکیده کامل

Ridge regression is a model that is frequently used and has numerous effective applications‎, ‎particularly in the management of correlated factors in a multiple regression model‎. ‎Additionally‎, ‎multicollinearity poses a significant risk in fuzzy regression models when it comes to predictions‎. ‎In order to solve this problem‎, ‎we bring together the fuzzy regression model with the ridge regression technique‎. ‎Regarding the evaluation of the coefficients of the ridge fuzzy regression model‎, ‎the algorithm that we have suggested makes use of the parametric estimation approach‎. ‎In this article‎, ‎we examine the ridge regression in the intuitionistic fuzzy environment‎. ‎We assume that the input and output data are intuitionistic fuzzy numbers‎. ‎Since in the regression analysis we need to calculate the distance between the variables‎, ‎we define a new fuzzy parametric distance‎. ‎Also‎, ‎the goodness of fit of the model with the indicators of the mean square of the prediction error has been investigated in simulation examples and real data‎. پرونده مقاله

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79 - An Efficient Approach based on Wu’s Method for Solving Fully Fuzzy Polynomial Equations System
Hamed Farahani Mohammad Javad Ebadi Seyed Ahmad Edalatpanah

10.30495/fomj.2023.1987443.1088

This article introduces a productive algebraic approach to identifying positive solutions for a system of fully fuzzy polynomial equations (FFPEs). To achieve this, the FFPEs system is transformed into a comparable system of crisp polynomial equations. The Wu's alg چکیده کامل

This article introduces a productive algebraic approach to identifying positive solutions for a system of fully fuzzy polynomial equations (FFPEs). To achieve this, the FFPEs system is transformed into a comparable system of crisp polynomial equations. The Wu's algorithm is then employed to solve the set of crisp polynomial equations as the solution method. This algorithm results in the solution of characteristic sets that are readily solvable. A key benefit of the proposed method is that all the solutions are obtained simultaneously. The article concludes by presenting some practical examples to demonstrate the efficacy of the proposed method. پرونده مقاله

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80 - Supplier selection in the sustainable supply chain: The application of analytic hierarchy process and fuzzy data envelopment analysis
حمیدرضا رضایی محمد طالقانی محسن شفیعیان تارا نیک اندام

The development and management of an effective and efficient supply chain involve the selection of the suppliers. Only economic criteria, including cost and delivery, once used to be considered in the process of supplier selection. But, they do not suffice for the evalu چکیده کامل

The development and management of an effective and efficient supply chain involve the selection of the suppliers. Only economic criteria, including cost and delivery, once used to be considered in the process of supplier selection. But, they do not suffice for the evaluation of suppliers anymore due to the rapidly changing environment, and different perspectives are needed to be considered. The present paper aims to present a hybrid method based on fuzzy data envelopment analysis for sustainable supplier selection. At first, the criteria for sustainable supplier selection are derived from the relevant literature. Then, the hierarchy of the criteria and their preferential interrelations are specified by analytic hierarchy process. Eventually, the performance of the suppliers is evaluated using fuzzy data envelopment analysis. The presented DEA model has been inspired by the concept of ideal and anti-ideal decision-making units (DMUs) in the evaluation of cross-efficiency. According to this concept, a DMU is efficient if it is close to the ideal DMU’s performance and far from the anti-ideal DMU’s performance. پرونده مقاله

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81 - A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers
A. Kumar A. Bansal A. Neetu

Different methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non چکیده کامل

Different methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non-negative solution of a FFLSwithout any restriction on the coefficient matrix. In this paper a newcomputational method is proposed to solve FFLS without any restriction on thecoefficient matrix by representing all the parameters as trapezoidal fuzzynumbers. پرونده مقاله

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82 - Inverse DEA Model with Fuzzy Data for Output Estimation
A. محمودی راد ر. دهقان ف. حسین زاده لطفی

In this paper, we show that inverse Data Envelopment Analysis (DEA) modelscan be used to estimate output with fuzzy data for a Decision Making Unit (DMU)when some or all inputs are increased and deficiency level of the unit remainsunchanged.

In this paper, we show that inverse Data Envelopment Analysis (DEA) modelscan be used to estimate output with fuzzy data for a Decision Making Unit (DMU)when some or all inputs are increased and deficiency level of the unit remainsunchanged. پرونده مقاله

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83 - Canonical representation for approximating solution of fuzzy polynomial equations
م. صالح نزاد س. عباس بندی م. مصلح م. اوتادی

In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based چکیده کامل

In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness. پرونده مقاله

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84 - A new method for ordering triangular fuzzy numbers
س. ح. ناصری S. Mizuno

Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the conv چکیده کامل

Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy sets, centroid point and original point, and also weighted mean value. In this paper, we introduce a new method for ranking triangular fuzzy number to overcome the shortcomings of the previous techniques. Finally, we compare our method with some convenient methods for ranking fuzzy numbers to illustrate the advantage our method. پرونده مقاله

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85 - A NEW APPROACH OF FUZZY NUMBERS WITH DIFFERENT SHAPES AND DEVIATION
A. Ghanizadeh N. Parandin

In this paper, we propose a new method for fuzzy numbers. In this method, we assume that Ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. So, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. Then, Mic and Mis چکیده کامل

In this paper, we propose a new method for fuzzy numbers. In this method, we assume that Ai= (ai1, ai2, ai3, ai4) is to be a fuzzy number. So, the convex combination of ai1 and ai2 and also the convex combination of ai3 and ai4 are obtained separately. Then, Mic and Mis that are to be the convex combinations and the standard deviation respectively we acquire them from these components. Finally, we can obtain ranking index (Mi) that is the convex combination of, Mic and Mis. At the end of paper, in one example, the proposed method is compared with other methods. پرونده مقاله

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86 - A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
س.ح ناصری ا. دربان جعفری ر. چمه

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ra چکیده کامل

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process. پرونده مقاله

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87 - On the Comparison of the Applications of Conventional Ranking Techniques in Determining the Priority Factors Affecting Seed Production of Medicinal Plants: Case of Guilan Province, Iran
سیدعلی نورحسینی اسماعیل فلاحی سپیده قلی نژاد

Aimed at identifying and prioritizing promoters and deterrent affecting seed production of medicinal plants, the present study was conducted in 2014. The Delphi method was conducted using a panel of 13 experts in Guilan Natural Resources and Agriculture Organization. In چکیده کامل

Aimed at identifying and prioritizing promoters and deterrent affecting seed production of medicinal plants, the present study was conducted in 2014. The Delphi method was conducted using a panel of 13 experts in Guilan Natural Resources and Agriculture Organization. In the first round of the study, multiple-response techniques were used for content analysis. Based on the results of the first round, the second round questionnaire was featuring a Likert type scale that was then filled out by the first round respondents. Next, by comparing the conventional techniques, data were analyzed for investigation. The use of ranking techniques led largely to the same results or results with slight differences. The study recommends devoting due attention to the technical and environmental conditions such as proper storage, to avoid the wasteful harvesting of seeds at risk, and to provide favorable conditions for the domestication of medicinal plants. In addition,, the role of research, training, and information dissemination of the economic benefits would receive high importance. Furthermore, designing and implementing a legal monitoring mechanism and an active and comprehensive policy making process, as well as providing facilities and equipment necessary for the preparation, cultivation, and harvest of seeds by decision-making, executive institutions, and organizations would notably be effective to tackle the present challenges. پرونده مقاله

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88 - Improved TLBO and JAYA algorithms to solve new fuzzy flexible job-shop scheduling problems
Raviteja Buddala Siba Sankar Mahapatra Manas Ranjan Singh Bhanu Chandar Balusa Purusotham Singamsetty Venkata Phanikrishna Balam

10.30495/jiei.2023.1935150.1142

Flexible job-shop scheduling problem (FJSP) finds significant interest in the field of scheduling in dealing with complexity, solution methodology and, industrial applications. However, most of the studies on FJSP, consider the processing time of operations to be determ چکیده کامل

Flexible job-shop scheduling problem (FJSP) finds significant interest in the field of scheduling in dealing with complexity, solution methodology and, industrial applications. However, most of the studies on FJSP, consider the processing time of operations to be deterministic and known at priori while solving the problem. Since uncertainty is bound to occur in industries, deterministic approaches for solving FJSP may not yield good solutions. Schedules generated considering uncertainties may help the manufacturing firms to handle the uncertainties efficiently. The present work aims at solving FJSP in a realistic manner, considering uncertainty in the processing times. A modified version of optimization algorithms without tuning parameters such as teaching-learning-based optimization (TLBO) and JAYA is proposed to solve fuzzy FJSP (FFJSP) with less computational burden. Although there are enough challenging benchmark problems for deterministic FJSP problems, only limited benchmarks are available for a fuzzy variant of FJSP. The currently available FFJSP problems in the literature are small in size as compared to Brandimate data instances which are widely accepted for a deterministic variant of FJSP. Therefore, an attempt has been made in this paper to solve the instances of Kacem’s and Brandimarte’s by converting them into fuzzy FJSP. The present work also provides new challenging problems compared to the existing benchmark problems to study FFJSP. پرونده مقاله

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89 - A cloudy fuzzy economic order quantity model for imperfect-quality items with allowable proportionate discounts
Sujit Kumar De Gour Chandra Mahata

In the traditional economic order quantity/economic production quantity model, most of the items considered are of perfect type. But this situation rarely takes place in practice. Thus, in this paper, an economic order quantity model with imperfectquality items is dev چکیده کامل

In the traditional economic order quantity/economic production quantity model, most of the items considered are of perfect type. But this situation rarely takes place in practice. Thus, in this paper, an economic order quantity model with imperfectquality items is developed. 100% screening process is performed, and the items of imperfect quality are sold as a single batch. A proportionate rate of discount for the items of imperfect quality has also been studied. Moreover, a case study has been incorporated to comprehend the model. To nullify the issues of non-random uncertainties of demand rate in business scenario, cloudy fuzzy method has been utilized here. Numerical study reveals that cloud model along with its new defuzzification methods can give maximum profit of the model all the time instead of deterministic ones. Finally, sensitivity analysis and graphical illustrations are made to justify the novelty of the model. پرونده مقاله

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90 - Reliability optimization problems with multiple constraints under fuzziness
Neha Gupta Sanam Haseen Abdul Bari

In reliability optimization problems diverse situation occurs due to which it is not always possible to get relevant precision in system reliability. The imprecision in data can often be represented by triangular fuzzy numbers. In this manuscript, we have considered dif چکیده کامل

In reliability optimization problems diverse situation occurs due to which it is not always possible to get relevant precision in system reliability. The imprecision in data can often be represented by triangular fuzzy numbers. In this manuscript, we have considered different fuzzy environment for reliability optimization problem of redundancy. We formulate a redundancy allocation problem for a hypothetical series-parallel system in which the parameters of the system are fuzzy. Two different cases are then formulated as non-linear programming problem and the fuzzy nature is defuzzified into crisp problems using three different defuzzification methods viz. ranking function, graded mean integration value andα-cut. The result of the methods is compared at the end of the manuscript using a numerical example. پرونده مقاله

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91 - A new approach for Robot selection in manufacturing using the ellipsoid algorithm
Iman Mohamad Sharaf

The choice of suitable robots in manufacturing, to improve product quality and to increase productivity, is a complicated decision due to the increase in robot manufacturers and configurations. In this article, a novel approach is proposed to choose among alternatives, چکیده کامل

The choice of suitable robots in manufacturing, to improve product quality and to increase productivity, is a complicated decision due to the increase in robot manufacturers and configurations. In this article, a novel approach is proposed to choose among alternatives, differently assessed by decision makers on different criteria, to make the final evaluation for decision-making. The approach is based on the ellipsoid algorithm for systems of linear inequalities. Most of the ranking methods depend on integration that becomes complicated for nonlinear membership functions, which is the case in robot selection. The method simply uses the membership function or its derivative. It takes the decision maker’s attitude in ranking. It effectively ranks fuzzy numbers and their images, preserving symmetry. It is a simple recursive algebraic formula that can be easily programmed. The performance of the algorithm is compared with the performance of some existing methods through several numerical examples to illustrate its advantages in ranking, and a robot selection problem is solved. پرونده مقاله

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92 - Numerical modeling of economic uncertainty
H Schjær-Jacobsen

Representation and modeling of economic uncertainty is addressed by different modeling methods, namely stochastic variables and probabilities, interval analysis, and fuzzy numbers, in particular triple estimates. Fo-cusing on discounted cash flow analysis numerical resu چکیده کامل

Representation and modeling of economic uncertainty is addressed by different modeling methods, namely stochastic variables and probabilities, interval analysis, and fuzzy numbers, in particular triple estimates. Fo-cusing on discounted cash flow analysis numerical results are presented, comparisons are made between alter-native modeling methods, and characteristics of the methods are discussed. پرونده مقاله

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93 - Fuzzy completion time for alternative stochastic networks
S.S Hashemin

In this paper a network comprising alternative branching nodes with probabilistic outcomes is considered. In other words, network nodes are probabilistic with exclusive-or receiver and exclusive-or emitter. First, an analytical approach is proposed to simplify the struc چکیده کامل

In this paper a network comprising alternative branching nodes with probabilistic outcomes is considered. In other words, network nodes are probabilistic with exclusive-or receiver and exclusive-or emitter. First, an analytical approach is proposed to simplify the structure of network. Then, it is assumed that the duration of activities is positive trapezoidal fuzzy number (TFN). This paper combines the randomness and fuzziness and shows that the fuzzy completion time of alternative stochastic network is a fuzzy-valued random variable. Then, the probability function of network fuzzy completion time and its expected value is defined. Finally, the applications and computations are illustrated in a numerical example. پرونده مقاله

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94 - Fuzzy model for risk analysis
F Luban

The goal of this paper is to show how the concept of fuzzy logic can be used to establish a degree to which an investment project belongs to a class of risk. Also, the probability of the fuzzy event is presented and is ap-plied to calculate the probability of the fuzzy چکیده کامل

The goal of this paper is to show how the concept of fuzzy logic can be used to establish a degree to which an investment project belongs to a class of risk. Also, the probability of the fuzzy event is presented and is ap-plied to calculate the probability of the fuzzy event “the project X is a good investment”. This process has to enable the decision maker to compare several alternative investments from the fuzzy logic perspective and, in this way, allows him to include the uncertainty that comes with the problem in reality. Moreover, by experi-ments with the proposed fuzzy model the user can obtain new knowledge for investment risk analysis. پرونده مقاله

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95 - Technical note: Water conservation in Kuwait: A fuzzy analysis approach
M Hajeeh

In an arid country like Kuwait with harsh and hot climate conditions, the scarcity of fresh water supplies presents a serious threat to sustainable socio-economic development and growth. Kuwait is an oil rich country with capital abundance and coastal locations enabled چکیده کامل

In an arid country like Kuwait with harsh and hot climate conditions, the scarcity of fresh water supplies presents a serious threat to sustainable socio-economic development and growth. Kuwait is an oil rich country with capital abundance and coastal locations enabled it to build desalination plants for fresh water production that is sold to the customers at highly subsidized prices. However, due to the sharp increase in population, and misuse of fresh water, there are shortages in water supply. Therefore, Kuwait should take appropriate measures to tackle this problem. This study examines the different course of actions required for water conservations by soliciting water experts` opinion. The problem is complex in nature, it constitutes a multi-criteria decision making problem since it comprises several criteria. The Fuzzy Analytical Hierarchy Process (FAHP) is utilized as a decision tool for finding the best course of actions to bring about water conservation. In this work, three factors are considered along with six water conservation policies. پرونده مقاله

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96 - Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
M. Mosleh

In this paper, we present some efficient numericalalgorithm for solving system of fuzzy polynomial equations based on Newton'smethod. The modified Adomian decomposition method is applied toconstruct the numerical algorithms. Some numerical illustrationsare given to show چکیده کامل

In this paper, we present some efficient numericalalgorithm for solving system of fuzzy polynomial equations based on Newton'smethod. The modified Adomian decomposition method is applied toconstruct the numerical algorithms. Some numerical illustrationsare given to show the efficiency of algorithms. پرونده مقاله

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97 - Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
R. Ezzati A. Yousefzadeh

In this paper, we propose the least-squares method for computing the positivesolution of a $m\times n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based onKaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consideral چکیده کامل

In this paper, we propose the least-squares method for computing the positivesolution of a $m\times n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based onKaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we considerall elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of thefuzzy number vector solution of the non-square FFLS of equations by using pseudoinverse.If 1-cuts vector is non-negative, we solve constrained least squares problem for computingleft and right spreads. Then, in the special case, we consider 0 is belong to the support ofsome elements of coefficient matrix and solve three overdetermined linear systems and if thesolutions of these systems held in non-negative fuzzy solutions then we compute the solutionof the non-square FFLS of equations. Else, we solve constrained least squares problem forobtaining an approximated non-negative fuzzy solution. Finally, we illustrate the efficiencyof the proposed method by solving some numerical examples. پرونده مقاله

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98 - A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
M. Paripour J. Saeidian A. Sadeghi

In this paper, we present an efficient numerical algorithm for solving fuzzy systemsof linear equations based on homotopy perturbation method. The method is discussed indetail and illustrated by solving some numerical examples.

In this paper, we present an efficient numerical algorithm for solving fuzzy systemsof linear equations based on homotopy perturbation method. The method is discussed indetail and illustrated by solving some numerical examples. پرونده مقاله

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99 - Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
S. P. Mondal T. K. Roy

In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficientis positive crisp number and coefficient is negative crisp number. Here fuzzy numbers ar چکیده کامل

In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficientis positive crisp number and coefficient is negative crisp number. Here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated. پرونده مقاله

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100 - An Approximation Method for Fuzzy Fixed-Charge Transportation Problem
Ali Mahmoodirad Masoud Sanei

In this paper, we develop the fuzzy fixed charge transportation problem when the costs are the fuzzy numbers. The first step it transform into the classical fuzzy transportation problem. The next, we obtain the best approximation fuzzy on the optimal value of the fuzzy چکیده کامل

In this paper, we develop the fuzzy fixed charge transportation problem when the costs are the fuzzy numbers. The first step it transform into the classical fuzzy transportation problem. The next, we obtain the best approximation fuzzy on the optimal value of the fuzzy fixed-charge transportation problem. This method obtains a lower and upper bounds both on the fuzzy optimal value of the fuzzy fixed-charge transportation problem which can be easily obtained by using the approximation solution. Finally, the results of this paper have been illustrated by a numerical example. پرونده مقاله

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101 - Initial Value ‎P‎roblems for Fourth-Order Fuzzy Differential Equations by Fuzzy Laplace ‎‎T‎ransform
Hülya Gültekin Çitil

This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.

This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given. پرونده مقاله

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102 - A New Method for Solving the Fully Z-Numbers Linear Programming Problems
Farhad Hosseinzadeh

10.30495/ijm2c.2023.1979867.1266

Decisions are based on information. To be useful, information must be reliable. The concept of a Z-number relates to the issue of reliability of the information. the fully Z-number linear programming problems (FZLPP) in which all the parameters, as well as the variables چکیده کامل

Decisions are based on information. To be useful, information must be reliable. The concept of a Z-number relates to the issue of reliability of the information. the fully Z-number linear programming problems (FZLPP) in which all the parameters, as well as the variables, are represented by fully Z-numbers is a good topic for readers. and in this study, we proposed a practical method to solve fully Z-numbers linear programming by using the fuzzy ranking method for constraints and converting objective function to a multi-objective function, and finding their optimal solution with Z-number. پرونده مقاله

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103 - AN APPLICATION OF FUZZY NUMBERS TO THE ASSESSMENT OF MATHEMATICAL MODELLING SKILLS
Michael Gr. Voskoglou Igor Ya. Subbotin

Inthis paper we use the Triangular and Trapezoidal Fuzzy Numbers as tools for assessing student Mathematical Modelling (MM) skills. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics, چکیده کامل

Inthis paper we use the Triangular and Trapezoidal Fuzzy Numbers as tools for assessing student Mathematical Modelling (MM) skills. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics, On the other hand, MM appears today as a dynamic tool for teaching and learning mathematics, because it connects mathematics with our everyday life giving the possibility to students to understand its usefulness in practice thus increasing their interest about mathematics. Therefore the subject of the present paper appears to be of great interest. Our results are illustrated by three examkples, through which the effectiveness of our new fuzzy assessment approach is validated compared to already established by the present authors in earlier works assessment methods of the classical (calculation of the means, GPA index) and the fuzzy logic (Trapezoidal Model). پرونده مقاله

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104 - ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
M. A. Fariborzi Araghi M. Hosseinzadeh

The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation

The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation پرونده مقاله

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105 - APPLICATION OF THE BELLMAN AND ZADEH'S PRINCIPLE FOR IDENTIFYING THE FUZZY DECISION IN A NETWORK WITH INTERMEDIATE STORAGE
Mohammad Rahimian Esmaiel Keshavarz Hamid Hassasi

In most of the real-life applications we deal with the problem of transporting some special fruits, as banana, which has particular production and distribution processes. In this paper we restrict our attention to formulating and solving a new bi-criterion problem on a چکیده کامل

In most of the real-life applications we deal with the problem of transporting some special fruits, as banana, which has particular production and distribution processes. In this paper we restrict our attention to formulating and solving a new bi-criterion problem on a network in which in addition to minimizing the traversing costs, admissibility of the quality level of fruits is a main objective. However, the fruits are possibly stored at some intermediate node for practical purposes. We call the new model the best shipping pattern problem with intermediate storage. Here, it is assumed that both arc costs and times are crisp numbers. The main contribution of this model is an actual interpretation of the given fuzzy trapezoidal number, as the quality of delivered commodities. Since the presented problem has a fuzzy structure, the Bellman and Zadeh's max-min criterion can be used to treat it as a crisp single-objective problem, which is easily solvable. An illustrative example is solved, to explain the presented details. پرونده مقاله

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106 - Center of Mass and its Applications in Ranking
Nasser Mikaeilvand

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in con چکیده کامل

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described. At last, we present some numerical examples to illustrate the proposed method, and compare it with other ranking methods. پرونده مقاله

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107 - Ranking of fuzzy numbers based on angle measure
Mahnaz Barkhordari ahmadi

In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horiz چکیده کامل

In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horizontal axis is calculated. The total angle is determined by averaging the computed angles and finally, the novel method is compared with other methods by solving some numerical examples پرونده مقاله

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