Fuzzy Linear Systems: A Decomposition Method and Some New Results

A convenient model of fuzzy linear system is a n.n linear system whose coefficients matrix is crisp and the right-hand side column is an arbitrary fuzzy vector. Then the solution of fuzzy linear system is constructed by using the solution of an extended crisp linear system. In this study we focus on n.n fuzzy linear systems and state a method for solving the fuzzy linear systems, by uding of a certain decomposition of the coefficient matrix of the extended crisp linear system. The method in detail is discussed and in particular we give some new results conserning to invertible condition of the coefficient matrix of the extended system. We illustrate the method by solving some numerical examples.