Ranking Saman bank branches using fuzzy Data Envelopment Analysis and PROMETHEE
Subject Areas : تحقیق در عملیاتElahe Sarfi 1 * , Esmat Noroozi 2
1 - گروه ریاضی، واحد دامغان، دانشگاه آزاد اسلامی، دامغان، ایران
2 - گروه ریاضی، واحد تهران شرق، دانشگاه آزاد اسلامی، تهران، ایران
Keywords: اعداد فازی, صفحه GAIA, تحلیل پوششی داده ها, پرومتی II,
Abstract :
Uncertainty is one of the unavoidable and attractive topics in the real world. In recent years, fuzzy data have entered the problems of Data Envelopment Analysis and this issue has provided the research field of many researchers. In addition, the ranking of Decision Making Units in Data Envelopment Analysis is itself a challenging issue. In this manuscript a two step method for ranking Decision Making units with fuzzy inputs and outputs is presented. In this method first the efficiency of the Decision Making Units is obtained using fuzzy Data Envelopment Analysis models. The obtained efficiency measures are themselves fuzzy numbers. After that, by applying PROMETHEE II which is a multi criteria decision making method and using the fuzzy efficiency measures obtained from the first step, the Decision Making Units can be ranked. Here, the Decision Making Units are considered as options and the lower bound, middle value and upper bound of efficiency are considered as criteria. After that, the presented ranking method has been used for a numerical example and an applied example whose data is related to 60 branches of Saman Bank. In the end, the results have been analyzed.
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