文献类型：会议论文

英文题名：Approximate Solution of LR Fuzzy Matrix System

作者：Shang, Dequan[1];Wei, Xingmin[1];Guo, Xiaobin[2]

第一作者：尚德泉

通信作者：Guo, XB[1]

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

第一机构：甘肃中医药大学公共卫生学院

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

会议论文集：3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM)

会议日期：JUL 22-23, 2018

会议地点：Shanghai, PEOPLES R CHINA

语种：英文

外文关键词：LR fuzzy numbers; matrix analysis; fuzzy matrix equations; fuzzy approximate solutions

年份：2018

摘要：In this paper we proposed a general model for solving the fuzzy matrix equation AX=B in which A is a crisp matrix and B is an arbitrary LR fuzzy numbers matrix. The original fuzzy equation is converted to a system of linear matrix equations by the embedding approach. The fuzzy solution is derived from solving model and a sufficient condition for the existence of strong LR fuzzy solution is analyzed. Two illustrating examples are given to show the effectiveness of the proposed method.