Mechanisms of mixed fuzzy reasoning for asymmetric types

Abstract

In the basic models of fuzzy reasoning, the fuzzy propositions are the same type of fuzzy sets. In the paper, we intend to investigate the inference mechanisms of mixed fuzzy reasoning for asymmetric types such that the fuzzy propositions are the different type of fuzzy sets. We establish the two new models for the asymmetric type approximate reasoning problems and present the corresponding methods to solve the new models. Furthermore, we analyze the characterizations of the solutions and give their reductivity.