On the equivalence of SIRMs connected fuzzy inference method

This paper addresses equivalence of fuzzy inference methods. It first presents fuzzy inference methods: the product–sum–gravity method, fuzzy singleton-type inference method and single input rule modules connected type fuzzy inference method (SIRMs method). Secondly, three fuzzy inference methods of the product–sum–gravity method, fuzzy singleton-type inference method and SIRMs method which are all widely used as fuzzy control methods are shown to be equivalent to each other. Finally, we propose a “fuzzy singleton-type SIRMs method” as weighted SIRMs method, and also shown to be the equivalent between the proposed SIRMs method and above three fuzzy inference methods.