一种新的约束条件含三角模糊数的线性规划求解方法

A new kind of solution to linear programming with triangle fuzzy numbers in restricted condition

对现有的基于α-截集的三角模糊数排序方法在排序时未充分考虑左右隶属函数不同这一不足,定义了一种新的基于α-截集的三角模糊数排序准则,结合本文所给定的排序方法,将约束条件系数为三角模糊数的线性规划转化为经典的线性规划,以此求得原问题的最优解.通过数值算例,进一步证明了该方法的有效性和优越性.

In view of the fact that the former triangular fuzzy number ranking method did not fully consider the difference of membership function when ranking,a new ranking criterion based on cut sets of triangular fuzzy number was defined. Then combined with the criterion defined in this paper,constraining triangular fuzzy number linear programming into classic linear programming,the optimal solution of fuzzy linear pro-gramming was obtained. The effectiveness and superiority of the method were demonstrated.