Refined Generalized Iterative Methods in Solving Fuzzy Linear Systems

Abstract

In this paper refined generalized numerical algorithms for solving systems of linear equations whose coefficient matrices are M-matrices are extended for solving Fuzzy Linear Systems (FLS)such as Refined Generalized Jacobi (RGJ), and Refined Generalized Gauss-Seidel (RGGS) iteration methods. The embedding approach and splitting strategy of the M-matrix together with the refinement process have been employed in the development of these methods. The presented algorithms are tested and compared with a similar work by solving a numerical example and the results showed that the present methods perform better.


Keywords: Embedding, Fuzzy Linear Systems, Gauss-Seidel, Generalized, Jacobi, Refined