Title of article
Model and algorithm for bilevel linear programming with fuzzy decision variables and multiple followers
Author/Authors
Deng ، Shengyue - Hunan University of Technology , Tan ، Jintao - Hunan University of Technology , Xu ، Chengjie - Hunan University of Technology , Wang ، Xinfan - Hunan University of Technology
Pages
9
From page
2162
To page
2170
Abstract
The bilevel linear programming with fuzzy decision variables and multiple followers model (MFFVBLP) is firstly established and investigated, and the model optimal solution is shown to be equivalent to the optimal solution of the bilevel linear programming with multiple followers by using fuzzy structured element theory in this paper. The optimal solution of this model is found out by adopting the KuhnTucker approach. An illustrative example is provided to demonstrate the feasibility and efficiency of the proposed method for solving the MFFVBLP model.
Keywords
Bilevel linear programming , fuzzy decision variables , multiple followers , fuzzy structured element.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476538
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