Solving Fuzzy Systems of Linear Equations by the First-Order Richardson Method

Abstract

For the purpose of solving the systems of fuzzy equations, many interested researchers are proposed several iterative methods. The desired goal in this framework is to reduce the computational complexity either in memory space or in time. The natural idea is to improve the standard techniques, to give birth to others and to apply these theoretical results on the realistic plan.In this paper, we will extend the Richardson iterative method from crisp linear equations to fuzzy context. In addition, we explain the efficiency of suggested method by solving a numerical example as a fuzzy version of examples from classical circuit analysis.