Iranian Journal of Optimization (Jul 2010)
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
Abstract
In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.