Relaxation technique for solving fuzzy linear systems of linear fuzzy real numbers

Abstract

The purpose of this paper is to provide an efficient and practical algorithm for solving fuzzy linear systems of linear fuzzy real numbers. Accuracy and efficiency of the method based on relaxation technique are reported in numerical results and compared with the existing fuzzy iterative method. The fuzzy solution sequences of a fuzzy system in the two different methods were visualized and compared in the three-dimensional graphs. Numerical experiments have shown that the new fuzzy method is very efficient and accurate for solving fuzzy linear systems.