Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove tha...

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Veröffentlicht in:Fuzzy sets and systems Jg. 109; H. 1; S. 35 - 53
Hauptverfasser: Buckley, James J., Feuring, Thomas
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 2000
Schlagworte:
Evolutionary algorithms
Fuzzy linear programming
Mathematical programming
Fuzzy linear programming
Evolutionary algorithms
Mathematical programming
ISSN:0165-0114, 1872-6801
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Zusammenfassung:In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first 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 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 we apply this program to two applications to generate good solutions.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(98)00022-0