线性不等式在具有FUZZY数系数时的解

Solution Sets of Linear Inequalities with Fuzzy Number Coeffcients

本文讨论了线性不等式当系数为 Fuzzy 数时不等式的解.这是最优化问题中所常常遇到的问题.在本文中,我们把一般的线性不等式的解集看成是系数向量空间到解空间的点——集映射,然后用扩张原理,将该点——集映射扩张到 Fuzzy 集的运算,因而得到线性不等式在具有 Fuzzy 数系数时的 Fuzzy 解集 .并讨论了当系数为正则 Fuzzy 数时,Fuzzy 解集的性质.

In this paper solution sets of linear inequalities with fuzzy number coeff- icients is studied,which often come out onto the problem of optimization.This paper takes the solution set of a general linear inequality for a point-to-set map from a coefficient vector of linear inequality to a subset on the R^n.Then this paper extends the point-to-set map into the field of fuzzy operation as fuzzy mapping by the Extension Principle.A fuzzy solution set of linear inequalities with fuzzy number coefficients is obtained from the fuzzy mapp- ing.The character of the fuzzy solution set is studied.