文献类型：期刊文献

英文题名：Approximate Solution of LR Fuzzy Sylvester Matrix Equations

作者：Guo, Xiaobin[1];Shang, Dequan[2]

第一作者：Guo, Xiaobin

通信作者：Guo, XB[1]

机构：[1]Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China;[2]Gansu Coll Tradit Chinese Med, Dept Publ Courses, Lanzhou 730000, Peoples R China

第一机构：Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

通信机构：[1]corresponding author), Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China.

年份：2013

卷号：2013

外文期刊名：JOURNAL OF APPLIED MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84876549641);WOS:【SCI-EXPANDED(收录号:WOS:000316485300001)】；

基金：The authors were very thankful for the reviewer's helpful suggestions to improve the paper. This paper was financially supported by the National Natural Science Foundation of China (71061013) and the Youth Scientific Research Ability Promotion Project of Northwest Normal University (nwnu-lkqn-11-20).

语种：英文

摘要：The fuzzy Sylvester matrix equation A (X) over tilde + (X) over tildeB = (C) over tilde in which A, B are m x m and n x n crisp matrices, respectively, and (C) over tilde is an m x n LR fuzzy numbers matrix is investigated. Based on the Kronecker product of matrices, we convert the fuzzy Sylvester matrix equation into an LR fuzzy linear system. Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers. The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems. The existence condition of the LR fuzzy solution is also discussed. Some examples are given to illustrate the proposed method.