رهیافتی جدید برای حل مسئله برنامه‌ریزی خطی دو ترازه تماما فازی

Subject Areas : International Journal of Industrial Mathematics

S. F. Tayebnasab ¹ , F. Hamidi ² , M. Allahdadi ³

1 - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
2 - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
3 - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.

Received: 2019-05-04 Accepted : 2019-08-28 Published : 2020-01-01

Keywords: برنامه‌ریزی خطی دو ترازه, تابع رتبه‌بندی, اعداد فازی مثلثی,

Abstract :

در این مقاله، یک نوع از مسئله برنامه‌ریزی خطی دو ترازه تماما فازی را که در آن تمام ضرایب و متغیرهای تصمیم‌گیری در هر دو تابع هدف و قید ‌ها به عنوان اعداد فازی مثلثی بیان شده‌اند در نظر می­گیریم. به منظور بدست آوردن جواب بهینه­ی فازی، رهیافت کارامد جدیدی  برای مسئله­ی برنامه ریزی خطی دوترازه­ی تماما فازی با پارامترها و متغیرهای فازی ارایه شده است. این رهیافت بر اساس برنامه ریزی دوترازه­ی قطعی می‌باشد. در نهایت، مثال‌های عددی برای نشان دادن قابلیت پیاده‌سازی روش‌های مورد نظر ارائه گردیده است.

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