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Efficiency Analysis and Ranking of DMUs with Fuzzy Data
Authors:S M Saati  A Memariani  G R Jahanshahloo
Institution:(1) Department of Mathematics, Science & Research Branch, Islamic Azad University, Tehran, Iran;(2) Department of Industrial Engineering, Tarbiat Modarres University, Tehran, Iran;(3) Department of Mathematics, Teacher Training University, Tehran, Iran
Abstract:In this paper, a fuzzy version of CCR model (Charnes, Cooper and Rhodes (1978)) with asymmetrical triangular fuzzy number is presented and a procedure is suggested for its solution. The basic idea is to transform the fuzzy CCR model into a crisp linear programming problem by applying an alternative agr-cut approach. Thereby, the problem is converted to an interval programming. In this method, instead of comparing the equality (or inequality) of two intervals, a variable is defined in the interval, not only satisfies the set of constraints, but also maximizes the efficiency value. We also propose a ranking method for fuzzy DMUs using presented fuzzy DEA approach. To demonstrate the concept, numerical examples are solved and solutions are compared with Guo and Tanaka (2001).
Keywords:data envelopment analysis  membership function  possibilistic linear programming  ranking
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