Abstract: In order to transform the fuzzy linear system into a distinct linear matrix equation without parameter r∈0,1,the strong fuzzy solution and weak fuzzy solutions of fuzzy linear systems and their iterative methods of the numerical calculation were investigated based on the general LR-trapezoidal fuzzy numbers proposed in this paper and the structure characteristics of LR-trapezoidal fuzzy numbers,and its fuzzy solution were discussed and calculated by means of the generalized inverse of the coefficient matrix.