Model and algorithm for bilevel linear programming with fuzzy decision variables and multiple followers

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.