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:1998 Second International Conference on Knowledge-Based Intelligent Engineering Systems Proceedings Ročník 1; s. 94 - 100 vol.1
Hlavní autoři: Sakawa, M., Shibano, T., Kato, K.
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 1998
Témata:
Decoding
Delta modulation
Fuzzy systems
Genetic algorithms
Genetic engineering
Linear programming
Minimax techniques
Optimization methods
Systems engineering and theory
ISBN:9780780343160, 0780343166
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Abstract 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.
AbstractList 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.
Author Shibano, T.
Sakawa, M.
Kato, K.
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  surname: Kato
  fullname: Kato, K.
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Snippet This paper deals with multiobjective integer programming problems by considering fuzzy goals of the decision maker for objective functions. After determining...
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StartPage 94
SubjectTerms Decoding
Delta modulation
Fuzzy systems
Genetic algorithms
Genetic engineering
Linear programming
Minimax techniques
Optimization methods
Systems engineering and theory
Title An interactive fuzzy satisficing method for multiobjective integer programming problems through genetic algorithms
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