UNIQUENESS OF SOLUTIONS TO FUZZY RELATIONAL EQUATIONS REGARDING MAX-AV COMPOSITION AND STRONG REGULARITY OF THE MATRICES IN MAX-AV ALGEBRA.

The problem of solving a fuzzy relational equation plays an important role in fuzzy systems. In this paper, we investigate the uniqueness of solutions of fuzzy relational equations regarding max-av composition through the relationship between minimal solutions and minimal coverage. A method for verifying the strong regularity of matrices in fuzzy max-av algebra is proposed in the paper. [ABSTRACT FROM AUTHOR]