An interactive fuzzy satisficing method for multiobjective nonlinear integer programming problems with block-angular structures

An interactive fuzzy satisficing method for multiobjective nonlinear integer programming problems with block-angular structures

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Article ID: iaor20104150
Volume: 2009
Issue: 372548
Start Page Number: 1
End Page Number: 17
Publication Date: Jan 2009
Journal: Advances in Operations Research
Authors: ,
Abstract:

We focus on multiobjective nonlinear integer programming problems with block-angular structures which are often seen as a mathematical model of large-scale discrete systems optimization. By considering the vague nature of the decision maker's judgments, fuzzy goals of the decision maker are introduced, and the problem is interpreted as maximizing an overall degree of satisfaction with the multiple fuzzy goals. For deriving a satisficing solution for the decision maker, we develop an interactive fuzzy satisficing method. Realizing the block-angular structures that can be exploited in solving problems, we also propose genetic algorithms with decomposition procedures. Illustrative numerical examples are provided to demonstrate the feasibility and efficiency of the proposed method.

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