Nasser Mikaeilvand - Department of Mathematics, Islamic Azad University, Ardabil Branch, Ardabil, Iran
To gh Allahviranloo - Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran,

In many applications, that can be solved by solving system of linear equa-tions, system's parameters are positive and we interest to nd its non- ero solutions and hence it is important to propose method to nd non-zero so- lutions of FFLS, where system's parameters are positive. In this paper,we are going to nd non-zero solutions of this (FFLS). We will replace the original n n (FFLS) by a (2n) (4n) parametric linear system and numerical method for calculating the solutions is designed.For fuzzy number eu = (u(r); u(r)); 0 r 1, we will write (1)eu > 0 if u(0) > 0; (2)eu 0 if u(0) 0; (3)eu < 0 if u(0) < 0; (4)eu 0 if u(0) 0: Ifeu 0 or eu 0 this fuzzy number is called non-zero fuzzy number. Singleton numbers have a special property where non-singleton fuzzynumbers do not have. If eu; ev and ew are fuzzy numbers where eu + ev = ew , if ev is singleton then eu = ew