Solving general fuzzy linear systems

Xu-dong Sun

Si-zong Guo

pp. 277-287

in: Bing-yuan Cao, Cheng-yi Zhang, Tai-fu Li (eds), Fuzzy information and Engineering I, Berlin, Springer, 2009

Abstract

This paper investigates general fuzzy linear systems of the form Ax = y and general dual fuzzy linear systems of the form Ax + y = Bx + z with A, B matrices of crisp coefficients and y, z fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with no full rank matrices A, B. Second, We give the new necessary and sufficient conditions for a strong fuzzy solution existence. Moreover, some numerical examples are designed.