文献类型：期刊文献

英文题名：Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations

作者：Guo, Xiaobin[1];Shang, Dequan[2]

第一作者：Guo, Xiaobin

通信作者：Shang, DQ[1]

机构：[1]Nothwest 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：Nothwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

通信机构：[1]corresponding author), Gansu Coll Tradit Chinese Med, Dept Publ Courses, Lanzhou 730000, Peoples R China.|[10735]甘肃中医药大学;

年份：2013

卷号：2013

外文期刊名：JOURNAL OF APPLIED MATHEMATICS

收录：;Scopus(收录号：2-s2.0-84876586943);WOS:【SCI-EXPANDED(收录号:WOS:000316474900001)】；

基金：The work is supported by the Natural Scientific Funds of China (no. 71061013) and the Youth Research Ability Project of Northwest Normal University (NWNU-LKQN-1120).

语种：英文

摘要：The fuzzy matrix equations (A) over tilde circle times (X) over tilde circle times (B) over tilde = (C) over bar in which (A) over bar, (B) over bar, and (C) over bar are m x m, n x n, and m x n nonnegative LR fuzzy numbers matrices, respectively, are investigated. The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to arithmetic operations of LR fuzzy numbers. Based on pseudoinverse of matrix, the fuzzy approximate solution of original fuzzy systems is obtained by solving the crisp linear matrix systems. In addition, the existence condition of nonnegative fuzzy solution is discussed. Two examples are calculated to illustrate the proposed method.