A solution of dual fully fuzzy linear system of equations

Abstract

In this paper, we present a solution of an arbitrary dual fully fuzzy linear systems (DFFLS) in the form A ⊗ x = B ⊗ x ⊕ c, where coefficients matrices A and B are n × n fuzzy matrices, x and c are n × 1 fuzzy vectors and all of this system is elements of LR type of fuzzy numbers. By the transforming dual fully fuzzy linear system into two crisp linear systems, the solution of these two systems is obtained. Numerical examples are given to illustrate our method.