An efficient method for solving LR fuzzy dual matrix systems

In this paper, the fuzzy dual matrix system as A (x) over tilde + (B) over tilde = C (x) over tilde + (D) over tilde in which A, C are n x n crisp matrices and (B) over tilde, (D) over tilde are n x n LR fuzzy matrices is studied. To obtain the solution of fuzzy dual system, we initially solve 1-cut and use minimization problem to calculate the spreads. Afterwards, we explain the relationship between the solutions of the systems of A (x) over tilde +(B) over tilde = C (x) over tilde + (D) over tilde and (A - C)(x) over tilde = ((D) over tilde circle minus(h) (B) over tilde). Finally, some examples are solved to illustrate the proposed method.