广义模糊线性系统■的模糊对称解

The Fuzzy Symmetric Solution of the Generalized Fuzzy Linear Systems ■

针对广义模糊线性系统■,通过分配一些未知的对称扩展将其1-截形式转化成区间线性系统,给出了求其模糊对称解的一种方法。借助于广义逆矩阵和线性系统理论,得到了相容模糊线性系统的模糊对称通解和极小范数模糊对称解;不相容模糊线性系统的最小二乘模糊通解和极小范数最小二乘模糊对称解。

By allocating some unknown symmetric spreads to any rows of the generalized fuzzy linear systems Am×nx×1=bm×1 in 1-cut and transforming it into a system of interval equations,a method is given to find the fuzzy symmetric solution of the generalized fuzzy linear systems in this paper.Based on the generalized inverse matrix and the linear systems theory,the fuzzy symmetric general solution and the minimal normal fuzzy symmetric solution of the consistent fuzzy linear systems are obtained. Meanwhile,the least squares fuzzy general solution and the minimal normal least squares fuzzy symmetric solution of the inconsistent fuzzy linear systems also are proposed.