Academic Editor: Panayiotis J. Psarrakos
Copyright © 2013 Xiaobin Guo and Dequan Shang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The fuzzy matrix equations in which , , and
are , , and nonnegative LR fuzzy numbers matrices, respectively, are investigated.
The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to
arithmetic operations of LR fuzzy numbers. Based on pseudoinverse of matrix, the fuzzy approximate
solution of original fuzzy systems is obtained by solving the crisp linear matrix systems. In addition,
the existence condition of nonnegative fuzzy solution is discussed. Two examples are calculated to
illustrate the proposed method.