Extending the functional equivalence of radial basis function networks and fuzzy inference systems

IEEE Trans Neural Netw. 1996;7(3):776-81. doi: 10.1109/72.501735.

Abstract

We establish the functional equivalence of a generalized class of Gaussian radial basis function (RBFs) networks and the full Takagi-Sugeno model (1983) of fuzzy inference. This generalizes an existing result which applies to the standard Gaussian RBF network and a restricted form of the Takagi-Sugeno fuzzy system. The more general framework allows the removal of some of the restrictive conditions of the previous result.