%0 Journal Article
%T Solving LR fuzzy linear matrix equation†
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Guo, X.
%A Shang, D.
%D 2019
%\ 10/01/2019
%V 16
%N 5
%P 33-44
%! Solving LR fuzzy linear matrix equation†
%K Fuzzy numbers
%K Matrix analysis
%K Fuzzy matrix equation
%K Fuzzy approximate solutions
%R 10.22111/ijfs.2019.4905
%X In this paper, the fuzzy matrix equation $A\widetilde{X}B=\widetilde{C}$ in which $A,B$ are $n \times n$crisp matrices respectively and $\widetilde{C}$ is an $n \times n$ arbitrary LR fuzzy numbers matrix, is investigated. A new numerical procedure for calculating the fuzzy solution is designed and a sufficient condition for the existence of strong fuzzy solution is derived. Some examples are given to illustrate the proposed method.
%U https://ijfs.usb.ac.ir/article_4905_b1cab3516d92e0cde17d988a7482e53b.pdf