Investigation To Computation Theory And Method Of Several Fuzzy Matrix Equations

In the studying of mathematics, statistical analysis, physics and engi-neering computation, the most important job is that whether it could be transferred into a linear system. However, the uncertainty of the parame-ters is involved in the process of actual studying, which is often represented as fuzzy numbers. So fuzzy linear systems whose elements of augmented matrix are fuzzy numbers, that is theory and method of research of fuzzy linear systems is an important part of fuzzy mathematics.Based on the distinct matrix theory as the tool, We will use the methods and ideas of numerical analysis to solve the fuzzy matrix equation. At first, We will give the basic knowledge of fuzzy set, fuzzy number, LR fuzzy number and generalized LR fuzzy number, and give the basic concepts of the Kronecker product of matrices and the generalized inverse matrix Moore-Penrose at the same time. Then we will study solutions of two types fuzzy matrix equations. First, we will study fuzzy approximation solution and symmetric approximation solution of Sylvester matrix equation; The second category is based on the LR fuzzy number computation theory and method of fully dual fuzzy matrix equation. The study of these two kinds of issue promoted and enriched uniformly various traditional fuzzy linear systems such as Ax=6, x= Ax+b. Ax+b= Cx+d.