含直觉模糊弹性约束的模糊线性规划求解

本文基于模糊结构元方法构建并讨论了一类含有直觉模糊弹性约束的新型模糊线性规划问题. 通过引入模糊数的加权特征数, 定义了一种序关系并拓展了Verdegay的模糊线性规划方法, 将新型模糊线性规划问题转化成两个等价的含参数约束条件的清晰线性规划模型, 给出了此类线性规划模型对比最优可行解的求法. 最后通过一个数值实例来说明此类问题的一般求解方法.

Method for solving fuzzy linear programming with intuitionistic fuzzy elastic constraints

In this paper, a class of new fuzzy linear programming problem with intuitionistic fuzzy elastic constraints is constructed and discussed based on the fuzzy structured element method. By introducing the basic principle of the weighted characteristic number (WCN), the authors define an order relation and expand the Verdegay's method of the fuzzy linear programming. Then, the authors transform the new fuzzy linear programming problem into two equivalent and clear linear programming models with parameter constrains. The compared optimal feasible solution of the two equivalent and clear linear programming models is given. Finally, the authors give a numerical example to illustrate the general method for solving the proposed fuzzy linear programming problem.