University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416520191001Solving LR fuzzy linear matrix equationâ€ 3344490510.22111/ijfs.2019.4905ENX.GuoCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaD.ShangPublic Health College, Gansu University of Traditional Chinese Medicine, Lanzhou 730000, ChinaJournal Article20171216In this paper, the fuzzy matrix equation $A\widetilde{X}B=\widetilde{C}$ in which $A,B$ are $n \times n$<br />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.https://ijfs.usb.ac.ir/article_4905_b1cab3516d92e0cde17d988a7482e53b.pdf