In this paper, an interactive fuzzy programming method using genetic algorithms has been proposed for two-level 0-1 programming problems with fuzzy parameters. According to the proposed technique, the decision maker in each level establishes his fuzzy goals related to the objective functions, using
Interactive fuzzy programming for multi-level 0–1 programming problems with fuzzy parameters through genetic algorithms
✍ Scribed by Masatoshi Sakawa; Ichiro Nishizaki; Masatoshi Hitaka
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 140 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
In this paper, we propose interactive fuzzy programming for multi-level 0 -1 programming problems with fuzzy parameters through genetic algorithms. Our method can be applied to hierarchical decision problems in which decision makers have their own objective functions but they can coordinate their decisions, that is, they are essentially cooperative. After determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived e ciently by updating satisfactory levels of the decision makers with considerations of overall satisfactory balance among all levels. An illustrative numerical example for a three-level 0 -1 programming problem is provided to demonstrate the feasibility of the proposed method.
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