TY - JFULL AU - Lazim Abdullah and Nurhakimah Ab. Rahman PY - 2013/4/ TI - Jacobi-Based Methods in Solving Fuzzy Linear Systems T2 - International Journal of Mathematical and Computational Sciences SP - 401 EP - 408 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/16996 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 75, 2013 N2 - Linear systems are widely used in many fields of science and engineering. In many applications, at least some of the parameters of the system are represented by fuzzy rather than crisp numbers. Therefore it is important to perform numerical algorithms or procedures that would treat general fuzzy linear systems and solve them using iterative methods. This paper aims are to solve fuzzy linear systems using four types of Jacobi based iterative methods. Four iterative methods based on Jacobi are used for solving a general n × n fuzzy system of linear equations of the form Ax = b , where A is a crisp matrix and b an arbitrary fuzzy vector. The Jacobi, Jacobi Over-Relaxation, Refinement of Jacobi and Refinement of Jacobi Over-Relaxation methods was tested to a five by five fuzzy linear system. It is found that all the tested methods were iterated differently. Due to the effect of extrapolation parameters and the refinement, the Refinement of Jacobi Over-Relaxation method was outperformed the other three methods. ER -