On the singular fuzzy linear system of equations

Subject Areas : Applied Mathematics

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.

Received: 2015-09-21 Accepted : 2015-09-21 Published : 2015-12-01

Keywords: Drazin inverse, Singular fuzzy linear system, Minimal solution, Singular matrices,

Abstract :

The linear system of equations Ax = b where A = [aij ] in Cn.n is a crispsingular matrix and the right-hand side is a fuzzy vector is called a singularfuzzy linear system of equations. In this paper, solving singular fuzzy linearsystems of equations using generalized inverses such as Drazin inverse andpseudo-inverse are investigated.

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