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An interactive fuzzy method for multiobjective 0–1 programming problems with fuzzy number criteria using genetic algorithms

✍ Scribed by Masatoshi Sakawa; Toshihiro Shibano; Hidenobu Obata

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
221 KB
Volume
81
Category
Article
ISSN
1042-0967

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✦ Synopsis

The multiobjective 0-1 programming problem with fuzzy numbers is a formalization designed to represent expert judgment. Using the non-fuzzy a-multiobjective programming problem, in which the membership degrees of components of the coefficient vector are set in accordance with the decision makers objectives, the concept of an a-Pareto optimal solution with respect to the fuzzy parameters of the problem and the decision makers fuzzy objectives is introduced. An interactive fuzzy satisficing method is proposed in which a-Pareto optimal solutions are found by the expanded minimax method, the evaluation membership function and the fuzziness are interactively updated if the decision maker is not satisfied, and a solution acceptable to the decision maker is derived from the set of a-Pareto optimal solutions. A character string-coded genetic algorithm is used in solving the expanded minimax problem. The validity of the method is demonstrated by means of numerical examples.

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