Properties of Conjugate Fuzzy Matrices based on Reference Function

this article, the conjugate of fuzzy matrices based on reference function and some of its properties are taken into consideration. In dealing with these, use the representation of fuzzy matrices with the help of reference function is considered. Thereafter, addition and multiplication are defined accordingly. 0.3 0.7 0.8 0.9 0.4 0.5 1 0.3 0.6 0.1 0.4 0.8 0.9 0.4 0.6 0.2 1,3 0.9 1.2 1.8 0.7 1.1 1.1 0.7 1.4 1 0.9 1.4 1.2 0.6 1.1 0.9 AB Here it can be seen that the result is a matrix but not a fuzzy matrix. Hence we see that addition of two fuzzy matrices compatible under addition need not be a fuzzy matrix. It is for this reason the addition should be defined with the help of maximum or minimum operation so that the resulting matrix is a fuzzy matrix. (0.3, 0) (0.7, 0)) (0.8, 0) (0.9, 0) (0.4, 0) (0.5, 0) (1, 0) (0.3, 0) (0.6, 0) (0.1, 0) (0.4, 0) (0.8, 0) (0.9, 0) (0.4, 0) (0.6, 0) (0.2, 0)