Computational Solutions of Fuzzy Linear Systems Based on Centre and Radius Representations

The main objective of this paper is to propose a new and simple model for solving the classic fuzzy linear system. In the considered system, the coefficient matrix is a clear value matrix and the vectors on both sides of the equal sign are fuzzy number vectors. A centre and radius based solution algorithm is provided, a mathematical model for the solution is given, and the conditions for the satisfaction of the strong fuzzy solution are presented. The numerical example is given to illustrate our approach.