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arXiv · 1406.7357

On the solution of a class of fuzzy system of linear equations

Davod Khojasteh Salkuyeh
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Abstract

In this paper, we consider the system of linear equations $Ax=b$, where $A\in \Bbb{R}^{n \times n}$ is a crisp H-matrix and $b$ is a fuzzy $n$-vector. We then investigate the existence and uniqueness of a fuzzy solution to this system. The results can also be used for the class of M-matrices and strictly diagonally dominant matrices. Finally, some numerical examples are given to illustrate the presented theoretical results.

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Davod Khojasteh Salkuyeh. 2014-06-28. On the solution of a class of fuzzy system of linear equations. https://doi.org/10.1007/s12046-014-0313-y

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