Crisp-type fuzzy logic controller using Dubois and Prade's parametric t-norm-sum-gravity inference methods

The input/output relationship of a class of crisp-type fuzzy logic controll ers (FLCs) using parametric t-norm-sum-gravity inference method is examined . The explicit mathematical form of reasoning surface using Dubois and Prad e's parametric t-norm is addressed. Reasoning surfaces of crisp-type FLCs a re proved to be composed of a two-dimensional multilevel relay and a local position-dependent nonlinear compensator. The influence of the alpha value, the parameter of Dubois and Prade's parametric t-norm, on the reasoning su rfaces is also investigated.