Application of a similarity measure of fuzzy sets to fuzzy relational equations

In this paper, the grade of similarity, LA. B of tWO fuzzy sets A and B is defined and its properties are given. The set G(R, b) of grades of similarity associated with the set of the solutions of the Inverse Problem "given a fuzzy matrix R and a fuzzy vector b find all a such that a o R = b" is also defined and several properties are shown.