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2015•Journal of Chongqing University of Arts and SciencesRequires access

A new kind of solution to linear programming with triangle fuzzy numbers in restricted condition

Zhang Jinglian

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Abstract

In view of the fact that the former triangular fuzzy number ranking method did not fully consider the difference of membership function when ranking,a new ranking criterion based on cut sets of triangular fuzzy number was defined. Then combined with the criterion defined in this paper,constraining triangular fuzzy number linear programming into classic linear programming,the optimal solution of fuzzy linear programming was obtained. The effectiveness and superiority of the method were demonstrated.

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What this paper is about

In view of the fact that the former triangular fuzzy number ranking method did not fully consider the difference of membership function when ranking,a new ranking criterion based on cut sets of triangular fuzzy number was defined. Then combined with the criterion defined in this paper,constraining triangular fuzzy number linear programming into classic linear programming,the optimal solution of fuzzy linear programming was obtained. The effectiveness and superiority of the method were demonstrated.

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Available abstract

In view of the fact that the former triangular fuzzy number ranking method did not fully consider the difference of membership function when ranking,a new ranking criterion based on cut sets of triangular fuzzy number was defined. Then combined with the criterion defined in this paper,constraining triangular fuzzy number linear programming into classic linear programming,the optimal solution of fuzzy linear programming was obtained. The effectiveness and superiority of the method were demonstrated.

Key concepts: Mathematics, Fuzzy number, Ranking (information retrieval), Linear programming, Mathematical optimization, Fuzzy logic, Fuzzy set operations, Fuzzy mathematics

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