Complex-valued SIRMs connected fuzzy inference model

The single input rule modules connected type fuzzy inference model (SIRMs model) that unifies the inference outputs from fuzzy rule modules of one input type "IF-THEN" form can sharply reduce the number of fuzzy rules. However, since the number of rules of SIRMs model was limited as compared to the traditional fuzzy inference model, inference results gained by the SIRMs model were simple in general. Therefore, this paper proposes a complex-valued SIRMs connected fuzzy inference model (CV-SIRM model) in which the antecedent parts are extended to complex-valued fuzzy sets from conventional fuzzy sets. Moreover, it shows the properties and applicability of the proposed model.