رتبه‌بندی کارایی واحدهای تصمیم‌گیری با داده‌های فازی

محورهای موضوعی : توسعه اقتصادی، نوآوری، نغییرات تکنولوژیکی و رشد اقتصادی

ندا بشاک ¹ , شکراله زیاری ² , محمدمهدی موحدی ³ , امیر غلام ابری ⁴ , امیرمهدی میاندرق ⁵

1 - دانشجوی دکتری،گروه مدیریت صنعتی، واحد فیروزکوه، دانشگاه آزاد اسلامی، فیروزکوه، ایران، [e-mail]
2 - دانشیار، گروه ریاضی، واحد تهران جنوب، دانشگاه آزاد اسلامی، تهران، ایران (نویسنده مسئول)، [e-mail]
3 - مدیریت صنعتی، انشگاه آزاد اسلامی، واحد فیروزکوه، فیروزکوه، ایران
4 - دانشیار، گروه ریاضی، واحد فیروزکوه، دانشگاه آزاد اسلامی، فیروزکوه، ایران، [e-mail]
5 - گروه ریاضی،دانشگاه ازاد اسلامی، واحد فیروزکوه، فیروزکوه ، ایران

تاریخ دریافت : 1403/06/01 تاریخ پذیرش : 1403/10/22 تاریخ انتشار : 1403/10/22

کلید واژه: تحلیل پوششی داده ها, تکنیک تاپسیس فازی, تاپسیس-DEA فازی, رتبه بندی واحدهای تصمیم گیری,

چکیده مقاله :

هدف این پژوهش، ارائه روشی یکپارچه از روش تحلیل پوششی داده‌ها و تکنیک TOPSIS فازی براساس شباهت به راه‌حل ایده‌آل برای رتبه‌بندی کامل واحدهای تصمیم‌گیری در محیط فازی است. در این روش، DMUها به‌عنوان گزینه¬ها، متغیرهای ورودی به‌عنوان معیارهای هزینه (ویژگی‌های منفی) و متغیرهای خروجی به‌عنوان معیارهای سود (ویژگی‌های مثبت) لحاظ می‌شوند؛ زیرا کارایی یک DMU با افزایش مقادیر خروجی‌ها و کاهش مقادیر ورودی‌ها افزایش می‌یابد. ضمنا روش ارائه شده می‌تواند برای رتبه‌بندی DMUها با خروجی‌های نامطلوب نیز استفاده شود. کارایی و سادگی این روش از طریق مثال‌ها و مطالعه موردی بررسی شده است. همچنین نتایج بدست آمده با نتایج در مقالات مرتبط مقایسه گردیده است.

چکیده انگلیسی:

The aim of this research is to present an integrated method of data envelopment analysis (DEA) and fuzzy TOPSIS technique based on similarity to the ideal solution for the complete ranking of decision making units in a fuzzy environment. In this method, DMUs are considered as alternatives, input variables as cost criteria (negative attributes) and output variables as benefit criteria (positive attributes); Because the efficiency of a DMU increases by increasing the values of the outputs and decreasing the values of the inputs. In addition, the presented method can be used to rank DMUs with unfavorable outputs. The efficiency and simplicity of this method have been investigated via examples and case study. Also, the obtained results have been compared with the results in related articles

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