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
DOI: 10.12677/PM.2021.1112235, PDF,   
作者: 李 静：上海理工大学理学院，上海
关键词: 模糊线性系统；DMP逆；BT逆；Fuzzy Linear System； DMP Inverse； BT Inverse
摘要: 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。
Abstract: 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.
文章引用：李静. 模糊线性系统中关联矩阵的DMP逆和BT逆的分块表示[J]. 理论数学, 2021, 11(12): 2105-2110. https://doi.org/10.12677/PM.2021.1112235

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