Type-2 fuzzy functional inference method

This paper proposes a type-2 fuzzy functional inference method which extends fuzzy sets of the antecedent parts to type-2 fuzzy sets. This paper next explains that the type-2 fuzzy functional inference method can be classified to the three models: Model 1 is most common method, and Model 2 is a special case of Model 1. We show that the inference results of both Models 1 and 2 can be easily obtained from the area of fuzzy sets of the consequent parts and center of gravity. Moreover, we state that Model 3 can obtain different results compared with the simplified fuzzy inference method and T-S inference method.