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Zbl 1211.15038
Gong, Zengtai; Guo, Xiaobin
Inconsistent fuzzy matrix equations and its fuzzy least squares solutions. (English)
[J] Appl. Math. Modelling 35, No. 3, 1456-1469 (2011). ISSN 0307-904X

Summary: The $m \times n$ inconsistent fuzzy matrix equation $A\tilde{x}=\tilde{B}$ is investigated. The fuzzy least squares solution and the weak fuzzy least squares solution to the fuzzy matrix equation are expressed by using generalized inverses of the matrix $S$. The existence condition of strong fuzzy least squares solutions to the fuzzy system is also discussed. Some examples are presented to illustrate the proposed method.

MSC 2000:: *15B15
15A24 Matrix equations
65F20 Overdetermined systems (numerical linear algebra)

Keywords: fuzzy numbers; inconsistent fuzzy matrix equations; fuzzy least squares solutions

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