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

In this paper, we consider the system of linear equations $A\tilde {x}=\tilde {b}$, where $A\in \mathbb {R}^{n \times n}$ is a crisp H-matrix and $\tilde {b}$ 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. [ABSTRACT FROM AUTHOR]