中文摘要：

提出并研究了一类上层含约束条件且具有模糊决策变量的二层多随从线性规划模型,利用结构元理论证明了该模型最优解等价于上层含约束条件的二层多随从线性规划模型最优解,利用Kuhn-Tucker方法得到了该模型最优解,并通过数值算例验证了该方法的可行性.

英文摘要：

The bi-level multiple followers linear programming with upper constraint and fuzzy decision variables model is firstly established and investigated, and the model optimal solution is proved to be equivalent to the optimal solution of the bi- level multiple followers linear programming model by using structured element theory. By using the Kuhn-Tucker approach, the optimal solution of the model is proved. Finally, an illustrative numerical example for the bi-level multiple followers linear programming with upper constraint and fuzzy decision variables model is provided to demonstrate the feasibility of the proposed method.