International Journal of Fuzzy Mathematical Archive

  • Year: 2022
  • Volume: 20
  • Issue: 1

Solution of Fuzzy system of linear equations using successive over-relaxation method

Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India

Abstract

In this paper, we study the Successive Over-Relaxation (SOR) method to solve a fuzzy system of linear equations (FSLE). This method which is followed by the convergence theorem is discussed in detail and the useful iteration scheme is derived. The applicability of this iteration scheme is shown through supporting theorems and some numerical examples are illustrated by using this iteration scheme.

Keywords

Fuzzy number, Parametric form of fuzzy number, Fuzzy arithmetic, Solution of the FSLE, SOR method