An Interactive Fuzzy Satisficing Method for Multiobjective Integer Programming Problems through Genetic Algorithms

This paper deals with multiobjective integer programming problems by considering fuzzy goals of the decision maker for objective functions. After determining the fuzzy goals of the decision maker, if the decision maker specifies the reference membership values, the corresponding Pareto optimal solut...

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Vydáno v:Journal of Japan Society for Fuzzy Theory and Systems Ročník 10; číslo 1; s. 108 - 116
Hlavní autoři: SAKAWA, Masatoshi, SHIBANO, Toshihiro, KATO, Kosuke
Médium: Journal Article
Jazyk:angličtina
japonština
Vydáno: Japan Society for Fuzzy Theory and Intelligent Informatics 15.02.1998
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ISSN:0915-647X, 2432-9932
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Shrnutí:This paper deals with multiobjective integer programming problems by considering fuzzy goals of the decision maker for objective functions. After determining the fuzzy goals of the decision maker, if the decision maker specifies the reference membership values, the corresponding Pareto optimal solution can be obtained by solving the augmented minimax problem which becomes an integer programming problem. For solving the problem, decoding algorithms for 0-1 programming problems are revised and ringed double strings are also introduced. Then an interactive fuzzy satisficing method is presented together with an illustrative numerical example.
ISSN:0915-647X
2432-9932
DOI:10.3156/jfuzzy.10.1_108