Type-2 fuzzy functional SIRMs connected inference model

This paper proposes a type-2 fuzzy functional SIRMs connected inference model (type-2 FF-SIRMs model) which extends fuzzy sets of the antecedent parts of the SIRMs model to type-2 fuzzy sets. It next discusses some properties of the type-2 FF-SIRMs model. We show that the inference results of type-2 FF-SIRMs model can be easily obtained from the area and center of gravity in consequent parts even where general type-2 fuzzy sets are used to the antecedent parts. Moreover, we state monotonicity of type-2 FF-SIRMs model, and show its applicability.