Open Access
2013 Approximate Solution of LR Fuzzy Sylvester Matrix Equations
Xiaobin Guo, Dequan Shang
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/752760


The fuzzy Sylvester matrix equation AX~+X~B=C~ in which A,B are m×m and n×n crisp matrices, respectively, and C~ is an m×n LR fuzzy numbers matrix is investigated. Based on the Kronecker product of matrices, we convert the fuzzy Sylvester matrix equation into an LR fuzzy linear system. Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers. The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems. The existence condition of the LR fuzzy solution is also discussed. Some examples are given to illustrate the proposed method.


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Xiaobin Guo. Dequan Shang. "Approximate Solution of LR Fuzzy Sylvester Matrix Equations." J. Appl. Math. 2013 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.39029
MathSciNet: MR3033592
Digital Object Identifier: 10.1155/2013/752760

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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