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Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

✍ Scribed by James J. Buckley; Thomas Feuring

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 317 KB
Volume: 109
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00022-0

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✦ Synopsis

In this paper we wish to ÿnd solutions to the fully fuzziÿed linear program where all the parameters and variables are fuzzy numbers. We ÿrst change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove that fuzzy exible programming can be used to explore the whole undominated set to the multi-objective fuzzy linear program. An evolutionary algorithm is designed to solve the fuzzy exible program and we apply this program to two applications to generate good solutions.

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