ابر کارایی بر پایه مدل SBM درتحلیل پوششی داده های فازی تعمیم یافته

نوع مقاله: مقاله پژوهشی

نویسندگان

1 گروه ریاضیی دانشگاه سمنان

2 گروه ریاضی دانشگاه سمنان

چکیده

مدل ابر کارایی بر پایه SBM برای رتبه بندی واحدهای تصمیم گیرنده کارای SBM ارائه شده است. مدل‌های تحلیل پوششی داده‌های فازی، برای ارزیابی واحدهای دارای ورودی و خروجی‌های غیر قطعی معرفی شده اند که در این روش ها اغلب از دستاورد α- برش استفاده شده است. همچنین در این روش ها واحدهای تصمیم گیرنده نمونه فازی را نمی توان ارزیابی نمود. این مقاله مدل ابرکارایی بر پایه SBM تعمیم یافته با داده های فازی را معرفی می کند که هم در برگیرنده مدل های فازی قدیمی است و هم واحدهای تصمیم گیرنده نمونه را ارزیابی می کند. همچنین مقاله حاضر یک روش ارزیابی فازی جدید بر پایه بردار پیشنهاد می کند. به عنوان مثال عددی، روش پیشنهادی برای رتبه بندی واحدهای کارای سیستم صنعتی به کار رفته است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

A generalized SBM super-efficiency in fuzzy data envelopment analysis

نویسندگان [English]

  • mozhgan mansouri kaleibar 1
  • ali Ashrafi 2
1 Department of Mathematics, Semnan University, Semnan, Iran
2 Department of Mathematics, Semnan University, Semnan, Iran
چکیده [English]

The slacks-based measure super-efficiency model is presented for ranking SBM's efficient decision making units. Fuzzy data envelopment analysis models have been introduced to evaluate uncertain inputs and outputs for decision making units (DMUs). In this methods, mostly used α-cut procedure. Also, sample fuzzy decision making units in these methods cannot be assessed. This paper proposes generalized fuzzy super-efficiency model which includes, old fuzzy DEA models, and evaluates the sample decision making units. This scheme embraces evaluation method based on vector. As an empirical example, the proposed method is applied to the flexible manufacturing system data to rank efficient units.

کلیدواژه‌ها [English]

  • Data envelopment analysis
  • fuzzy data envelopment analysis
  • slacks-based measure
  • super– efficiency
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