一类模糊线性规划模型的结构元保度算法

A fuzzy linear programming keep degree algorithm based on structure element theory

针对一类右端系数为模糊的线性规划求解过程中截集的遍历性困难及生产资料信息丢失的问题,在模糊结构元基础上提出了一种保度算法,证明了与利用结构元加权序方法的等价性,将模糊型线性规划问题转化成与之等价的三个经典线性规划进行求解.研究结果表明:算法简化了计算量,同时极大地保留了生产资料的信息量.实例说明了方法的有效性.

For the ergodic cut set of difficulties and production loss of information in solving a class of fuzzy linear programming of which the right end of the coefficient is fuzzy numbers, this paper gave an algorithm of the resource fuzzy linear programming keep degree algorithm, and proved that it is equivalent to use the structure element weighted order method. The purpose is to put resource fuzzy linear programming convert into three equivalent classical linear programming. The results show that simplified algorithm simplifies the calculation, and at meantime it retains the great amount of production information. Finally this study illustrates effectiveness of the approach through an example.