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On the solution of fuzzy bilevel programming problems

Stephan Dempe(dempe***at***tu-freiberg.de)
Tatiana Starostina(dr_tanya***at***mail.ru)

Abstract: In this paper we formulate the fuzzy bilevel programming problem and describe one possible approach for formulating a crisp optimization problem being attached to it. Due to the nature of fuzzy bilevel programming this is a crisp bilevel programming problem. We compare our approach with one using multicriterial optimization and show, that both approaches are basically different. The use of multicriterial optimization rests on reformulating the original problem into a multicriterial fuzzy optimization problem and thus in deleting the hierarchical structure of the problem.

Keywords: Fuzzy optimization; bilevel programming; fuzzy multiobjective programming

Category 1: Nonlinear Optimization (Constrained Nonlinear Optimization )

Category 2: Other Topics (Game Theory )

Citation: Working paper September 2007, Department of Mathematics and Computer Science, Technical University Bergakademie Freiberg, Germany

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Entry Submitted: 09/14/2007
Entry Accepted: 09/14/2007
Entry Last Modified: 09/14/2007

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