Topic
Fuzzy associative matrix
About: Fuzzy associative matrix is a research topic. Over the lifetime, 8027 publications have been published within this topic receiving 194790 citations.
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TL;DR: The basic idea is to transform the fuzzy CCR model into a crisp linear programming problem by applying an alternative α-cut approach and a ranking method for fuzzy DMUs using presented fuzzy DEA approach is proposed.
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 α-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).
225 citations
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TL;DR: This paper focuses on the generalization of covering-based rough set models via the concept of fuzzy covering, where two pairs of generalized lower and upper fuzzy rough approximation operators are constructed by means of an implicator I and a triangular norm T.
225 citations
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TL;DR: The concept of the symmetric triangular fuzzy number is used and an approach to defuzzify a general fuzzy quantity is introduced and the FFLP transform to multi objective linear programming (MOLP) where all variables and parameters are crisp.
224 citations
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TL;DR: A new algorithm for evaluating weapon systems by Analytical Hierarchy Process (AHP) based on fuzzy scales, which is a multiple criteria decision making approach in a fuzzy environment is proposed and applied to a weapon system evaluation and selection problem.
223 citations