Approximation accuracy of table look-up scheme for fuzzy-neural networks with bell membership function

Authors:
Weimin Ma
Affiliations:
School of Economics and Management, Beijing University of Aeronautics & Astronautics, Beijing, P.R. China and School of Economics and Management, Xi'an Institute of Technology Xi'an, Shaanxi P ...
Venue:
ICONIP'06 Proceedings of the 13th international conference on Neural information processing - Volume Part III
Year:
2006

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Abstract

Although many works have been done in recent years for the designing Fuzzy-Neural Networks (FNN) from input-output data, the results concerning how to analyze the performance of some methods from a rigorous mathematical point of view are somewhat few. In this paper, the approximation bound for the Table Look-up Scheme with the Bell Membership Function is established. The detailed formulas of the error bound between the nonlinear function to be approximated and the FNN system designed based on the input-output data are derived.