Solving the Fuzzy BiLevel Linear Programming with Multiple Followers through Structured Element Method | Zendy

Shengyue Deng | Zendy; Liqian Zhou | Zendy; Wang Xin-fan | Zendy

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Solving the Fuzzy BiLevel Linear Programming with Multiple Followers through Structured Element Method

Author(s) -

Shengyue Deng,

Liqian Zhou,

Wang Xin-fan

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/418594

Subject(s) - bilevel optimization , fuzzy logic , mathematical optimization , element (criminal law) , linear programming , mathematics , computer science , optimization problem , artificial intelligence , political science , law

The optimal solution of fuzzy bilevel linear programming with multiple followers (MFFBLP) model is shown to be equivalent to the optimal solution of the bilevel linear programming with multiple followers by using fuzzy structured element theory. The optimal solution to this model is found out by adopting the Kuhn-Tucker approach. Finally, an illustrative numerical example for this model is also provided to demonstrate the feasibility and efficiency of the proposed method

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