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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.

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