SIRMs connected fuzzy inference model with compatibility functions

The single input rule modules connected fuzzy inference model (SIRMs model) can decrease the number of fuzzy rules drastically in comparison with the conventional fuzzy inference models. However, the inference results obtained by the SIRMs model is generally simple comapred with the conventional fuzzy inference models. For example, the SIRMs model can not transform to the product-sum-gravity model, if the fuzzy sets of the antecedent parts are limited to normal fuzzy sets. In this paper, we propose a SIRMs model with compatibility functions, which weights the rules of the SIRMs model. Moreover, this paper shows that the inference results of the proposed model can be easily obtained even as the proposed model uses involved compatibility functions.