Interactive fuzzy programming for multi-level 0-1 programming problems with fuzzy parameters through genetic algorithms
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.
fuzzy programming fuzzy parameter genetic algorithms fuzzy goals multilevel 0-1 programming problem interactive methods