Abstract: In this study, the iterative methods particularly families of Alternating Group Explicit (AGE) methods are used to solve finite difference algebraic equation arising from fuzzy diffusion equation is examined. For the proposed problems, family of AGE methods namely Full-Sweep AGE (FSAGE) and Half-Sweep AGE (HSAGE) has been considered to be the generated linear solver. The formulation and implementation of these two proposed methods were also presented. In addition, numerical results by solving two test problems are included and compared with the Full-Sweep Gauss Seidel (FSGS), FSAGE and HSAGE methods to show their performance.