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Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming. (English) Zbl 0956.90064
Summary: The authors find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. They first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. They prove that fuzzy flexible 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 flexible program and they apply this program to two applications to generate good solutions.

MSC:
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90C29 Multi-objective and goal programming
90C05 Linear programming
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