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Approximate Solution of Fuzzy Matrix Equations with LR Fuzzy Numbers

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DOI: 10.4236/apm.2012.26056    5,223 Downloads   9,254 Views   Citations

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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