Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations

The fuzzy matrix equations (A) over tilde circle times (X) over tilde circle times (B) over tilde = (C) over bar in which (A) over bar, (B) over bar, and (C) over bar are m x m, n x n, and m x n nonnegative LR fuzzy numbers matrices, respectively, are investigated. The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to arithmetic operations of LR fuzzy numbers. Based on pseudoinverse of matrix, the fuzzy approximate solution of original fuzzy systems is obtained by solving the crisp linear matrix systems. In addition, the existence condition of nonnegative fuzzy solution is discussed. Two examples are calculated to illustrate the proposed method.