Type-2 SIC Fuzzy Inference Models

The Single Input Connected fuzzy inference model (SIC model) by Hayashi et al. can reduce the number of fuzzy rules drastically compared with conventional fuzzy inference models. However, since the number of rules of the SIC model is limited compared to the conventional inference models, inference results gained by the SIC model are simple in general. From this reason, this paper proposes two type-2 SIC fuzzy inference models. We firstly propose a general type-2 SIC model as most common extended model. Secondly, we propose a type-2 SIC model with fuzzy functions. Moreover, additive type-2 SIC model with fuzzy functions are shown to be transformed to the SIC model with functional weights, and its inference results can be easily obtained.