Proceedings of the Fuzzy System Symposium
29th Fuzzy System Symposium
Session ID : MC1-3
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Stackelberg Solutions to Fuzzy Bilevel Programming Problems through Possibility Theory
*Hideki KatagiriKosuke KatoTakeshi Uno
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Abstract

This article considers bilevel linear programming problems where the coefficients of the objective functions and the constraints in the problem are given as fuzzy parameters. Stackelberg solutions under fuzziness are dened by incorporating the notions of possibility theory into the original concept of Stackelberg solutions. It is shown that Stackelberg problems under fuzziness are transformed into deterministic bilevel linear or nonlinear programming problems, and that the resulting problems are exactly solved by using conventional bilevel linear or nonlinear programming techniques.

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© 2013 Japan Society for Fuzzy Theory and Intelligent Informatics
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