Efficiency Analysis and Ranking of DMUs with Fuzzy Data |
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Authors: | S. M. Saati A. Memariani G. R. Jahanshahloo |
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Affiliation: | (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 |
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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 -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). |
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Keywords: | data envelopment analysis membership function possibilistic linear programming ranking |
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