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

  • Authors:
  • K. J. Hunt;R. Haas;R. Murray-Smith

  • Affiliations:
  • Daimler-Benz AG, Berlin;-;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 1996

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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