模糊线性系统中关联矩阵的DMP逆和BT逆的分块表示

A Block Representation Involving the DMP Inverse and BT Inverse of the Associated Matrix in Fuzzy Linear System

模糊线性系统(FLS)是指系数矩阵A是一个实矩阵,右端向量Y~是一个给定的模糊数向量的线性系统AX~=Y~。为了便于求解模糊线性系统,可以利用嵌入方法将AX~=Y~转换为2n×2n清晰线性系统SX=Y。基于已有的模糊线性系统理论,研究了模糊线性系统中关联矩阵S的DMP逆与BT逆的分块表示。

A linear system AX~=Y~, where the coefficient matrix A is a real matrix, the right-hand side vector Y~ given fuzzy number vector is called a fuzzy linear system (FLS). In order to solve fuzzy linear system, n ×n fuzzy linear system can be transformed into the 2n ×2n crisp linear system by the embedded method. Based on the existing theories about the fuzzy linear system, a block representation involving the DMP inverse and BT inverse of the associated matrix S was investigated and studied.