Extending the functional equivalence of radial basis functionnetworks and fuzzy inference systems

Hunt, K.J., Haas, R. and Murray-Smith, R. (1996) Extending the functional equivalence of radial basis functionnetworks and fuzzy inference systems. IEEE Transactions on Neural Networks, 7(3), pp. 776-781. (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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Murray-Smith, Professor Roderick
• Authors: Hunt, K.J., Haas, R., and Murray-Smith, R.
• Subjects: Q Science > QA Mathematics > QA76 Computer software
• College/School: College of Science and Engineering > School of Computing Science
• Journal Name: IEEE Transactions on Neural Networks
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• ISSN: 1045-9227
• Copyright Holders: Copyright © 1996 Institute of Electrical and Electronics Engineers (IEEE)
• First Published: First published in IEEE Transactions on neural networks 7(3):776-781
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher