Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition

This paper considers resolving the inconsistency of a system of fuzzy relational equations with max-T composition by simultaneously modifying the coefficient matrix and the right hand side vector. We show that resolving the inconsistency of fuzzy relational equations with max-T composition by means of Chebyshev approximation is closely related to the generalized solvability of interval-valued fuzzy relational equations with max-T composition. An efficient procedure is proposed to obtain a consistent system with the smallest perturbation in the sense of Chebyshev distance.