Additive fuzzy functional inference methods

This paper proposes an additive fuzzy functional inference method which aggregates a final inference result by using sum operation rather max from inference results obtained by fuzzy rules whose consequent part consists of a fuzzy function. The additive fuzzy functional inference method is shown to be reduced to a functional inference method with a compatibility function which represents the characteristics such as area, base length and importantness of the fuzzy functional rule. Moreover, this paper shows that the fuzzy functional inference method with compatibility function includes ordinary T-S inference method and weighted fuzzy inference method.