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Interactive fuzzy programming for multi-level 0-1 programming problems through genetic algorithms

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1999年第3期114卷 580-588页

作者： Sakawa, M Nishizaki, I Hitaka, M Hiroshima Univ Fac Engn Dept Ind & Syst Engn Hiroshima 7398527 Japan

In this paper, we propose interactive fuzzy programming for multi-level 0-1 programming problems through genetic algorithms. Our method is supposed to apply to hierarchical decision problems in which decision-making at each level is sequential from upper to lower level and decision makers are essentially cooperative. After determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived efficiently by updating the satisfactory degrees of the decision makers at the upper level with considerations of overall satisfactory balance among all levels. An illustrative numerical example for three-level 0-1 programming problems is provided to demonstrate the feasibility of the proposed method. (C) 1999 Elsevier Science B.V. All rights reserved.

关键词： multilevel 0-1 programming problem fuzzy programming fuzzy goals genetic algorithms interactive method

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Interactive fuzzy programming for multi-level 0-1 programming problems with fuzzy parameters through genetic algorithms

引用

FUZZY SETS AND SYSTEMS 2001年第1期117卷 95-111页

作者： Sakawa, M Nishizaki, I Hitaka, M Hiroshima Univ Fac Engn Dept Ind & Syst Engn Higashihiroshima 7398527 Japan

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 efficiently 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. (C) 2001 Elsevier Science B.V. All rights reserved.

关键词： multilevel 0-1 programming problem fuzzy parameter fuzzy programming fuzzy goals genetic algorithms interactive methods

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