Expert rules refinement by solving fuzzy relational equations

In this paper, an approach to expert rules refinement within the framework of fuzzy relational calculus is proposed. The system of fuzzy rules can be rearranged as a collection of linguistic solutions of fuzzy relational equations using the composite system of fuzzy terms. Resolution of fuzzy relational equations guarantees the optimal number of fuzzy rules for each output fuzzy term and the optimal geometry of input fuzzy terms for each linguistic solution.