Author(s)

Xiaobin Guo, Dequan Shang

College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China.
Department of Public Courses, Gansu College of Chinese Medicine, Lanzhou, China.

In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp matrix equations. Then the fuzzy approximate solution of the fuzzy matrix equation is obtained by solving two crisp matrix equations. The existence condition of the strong LR fuzzy solution to the fuzzy matrix equation is also discussed. Some examples are given to illustrate the proposed method. Our results enrich the fuzzy linear systems theory.

LR Fuzzy Numbers; Matrix Analysis; Fuzzy Matrix Equations; Fuzzy Approximate Solution

X. Guo and D. Shang, "Approximate Solution of Fuzzy Matrix Equations with LR Fuzzy Numbers," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 373-378. doi: 10.4236/apm.2012.26056.