Efficiency Analysis and Ranking of DMUs with Fuzzy Data

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...

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Published in:Fuzzy optimization and decision making 2002-08, Vol.1 (3), p.255-267
Main Authors: Saati M, S, Memariani, A, Jahanshahloo, G R
Format: Article
Language:English
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Data envelopment analysis
Decision making
Efficiency
Fuzzy logic
Fuzzy sets
Linear programming
Mathematical programming
Mathematics
Methods
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Memariani, A
Jahanshahloo, G R
description 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 [alpha]-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). [PUBLICATION ABSTRACT]
doi_str_mv 10.1023/A:1019648512614
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subjects Data envelopment analysis
Decision making
Efficiency
Fuzzy logic
Fuzzy sets
Linear programming
Mathematical programming
Mathematics
Methods
title Efficiency Analysis and Ranking of DMUs with Fuzzy Data
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