Kj. Hunt et al., EXTENDING THE FUNCTIONAL EQUIVALENCE OF RADIAL BASIS FUNCTION NETWORKS AND FUZZY INFERENCE SYSTEMS, IEEE transactions on neural networks, 7(3), 1996, pp. 776-781
We establish the functional equivalence of a generalized class of Gaus
sian radial basis function (RBF's) networks and the full Takagi-Sugeno
model of fuzzy inference. This generalizes an existing result which a
pplies to the standard Gaussian RBF network and a restricted form of t
he Takagi-Sugeno fuzzy system. The more general framework allows the r
emoval of some of the restrictive conditions of the previous result.