An extended branch-and-bound algorithm for fuzzy linear bilevel programming

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Conference Proceeding
Applied Artificial Intelligence - Proceedings of the 7th International FLINS Conference, FLINS 2006, 2006, pp. 291 - 298
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© 2006 by World Scientific Publishing Co. Pte. Ltd. This paper presents an extended Branch-and-Bound algorithm for solving fuzzy linear bilevel programming problems. In a fuzzy bilevel programming model, the leader attempts to optimize his/her fuzzy objective with a consideration of overall satisfaction, and the follower tries to find an optimized strategy, under himself fuzzy objective, according to each of possible decisions made by the leader. This paper first proposes a new solution concept for fuzzy linear bilevel programming. It then presents a fuzzy number based extended Branch-and-bound algorithm for solving fuzzy linear bilevel programming problems.
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