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

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  • Shengyue Deng
  • Liqian Zhou
  • Xinfan Wang

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.

Suggested Citation

  • Shengyue Deng & Liqian Zhou & Xinfan Wang, 2014. "Solving the Fuzzy BiLevel Linear Programming with Multiple Followers through Structured Element Method," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, June.
    • Handle: RePEc:hin:jnlmpe:418594
    DOI: 10.1155/2014/418594
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