TY - JOUR
ID - 4905
TI - Solving LR fuzzy linear matrix equationâ€
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Guo, X.
AU - Shang, D.
AD - College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
AD - Public Health College, Gansu University of Traditional Chinese Medicine, Lanzhou 730000, China
Y1 - 2019
PY - 2019
VL - 16
IS - 5
SP - 33
EP - 44
KW - Fuzzy numbers
KW - Matrix analysis
KW - Fuzzy matrix equation
KW - Fuzzy approximate solutions
DO - 10.22111/ijfs.2019.4905
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_4905.html
L1 - https://ijfs.usb.ac.ir/article_4905_b1cab3516d92e0cde17d988a7482e53b.pdf
ER -