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Zbl 1250.15023
Guo, Xiaobin; Shang, Dequan
Fuzzy symmetric solutions of fuzzy matrix equations.
(English)
[J] Adv. Fuzzy Syst. 2012, Article ID 318069, 9 p. (2012). ISSN 1687-7101; ISSN 1687-711X/e

Summary: The fuzzy symmetric solution of fuzzy matrix equation $A\tilde{X} = \tilde{B}$, in which $A$ is a crisp $m \times m$ nonsingular matrix and $\tilde{B}$ is an $m \times n$ fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices. From solving the fuzzy linear system, three types of fuzzy symmetric solutions of the fuzzy matrix equation are derived. Finally, two examples are given to illustrate the proposed method.
MSC 2000:
*15A24 Matrix equations
15B15

Keywords: fuzzy symmetric solution; fuzzy matrix equation; Kronecker product of matrices

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