Mohamad Keyanpour - Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran,
Maryam Mohagheghtabar - Faculty of Sciences, Islamic Azad University of Fouman and Shaft.

In this paper, the α-cut representation and the generalized Hukuhara difference is employed to create A B Ax +b = Bx +b fuzzy linear sys-tem. The foundation of the paper is based on the absence of inverse operator in fuzzy arithmetic. This paper aims at finding an unique fuzzy solution for the mentioned system. The effectiveness of theproposed methodology is illustrated by examples.

Fuzzy Linear programming, Hukuhara difference, invers operator, fuzzy solution