^{2}Department of Computer engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

Abstract

The linear system of equations Ax = b where A = [a_{ij} ] in C^{n.n} is a crisp singular matrix and the right-hand side is a fuzzy vector is called a singular fuzzy linear system of equations. In this paper, solving singular fuzzy linear systems of equations using generalized inverses such as Drazin inverse and pseudo-inverse are investigated.

Article Title [Persian]

On the singular fuzzy linear system of
equations

Authors [Persian]

M. Nikuie^{1}; M. K. Mirnia^{2}

^{1}Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University,
Tabriz, Iran.

^{2}Department of Computer engineering, Tabriz Branch, Islamic Azad
University, Tabriz, Iran.

Abstract [Persian]

The linear system of equations Ax = b where A = [a_{ij} ] in C^{n.n} is a crisp singular matrix and the right-hand side is a fuzzy vector is called a singular fuzzy linear system of equations. In this paper, solving singular fuzzy linear systems of equations using generalized inverses such as Drazin inverse and pseudo-inverse are investigated.

Keywords [Persian]

Drazin inverse، Singular fuzzy linear system، Minimal solution، Singular matrices

References

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