A method for solving fully fuzzy linear system

Subject Areas : Applied Mathematics

M. Mosleh ¹ (Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran.)
S. Abbasbandy ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran.)
M. Otadi ³ (Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran.)

Received: 2015-09-28 Accepted : 2015-09-28 Published : 2013-12-01

Keywords: Fuzzy linear system, fuzzy number, Minimal solution,

Abstract :

In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting of m non-negative fuzzy numbers.

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