Solving the Fuzzy BiLevel Linear Programming with Multiple Followers through Structured Element Method. (29th June 2014)

• Record Type: Journal Article
• Authors: Deng, Shengyue; Zhou, Liqian; Wang, Xinfan
• Other Names: Su Housheng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-06-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/418594
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.