Abstract
The fuzzy wavelet neural networks (FWNN) are proposed in this paper. The structure and two learning algorithms of the FWNN for R-F function are given. Under the framework of such structure and two learning algorithms, wavelet-based fuzzy neural networks for interval estimation of processed data and for interpolation of fuzzy if-then rules are proposed too. The simulation results are given to prove their feasibility.
This project is partly supported by the National Fund of Intercent. Expert and partly supported by the“863” National Fund.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Buckley, J. J.; Hayashi, Y. Can Fuzzy Neural Nets Approximate Continuous Fuzzy Function? Fuzzy Set and System, 1994, Vol. 61, 43–51.
Buckley, J.; Hayashi, Y. Fuzzy Neural Networks: A Survey. Fuzzy Sets and System, 1994, Vol. 66, 1–13.
Chui, K. An Introduction to Wavelet. New York: Academic Press, 1992.
Ishibuchi, H. K.; Kwon Tanaka, H. A Learning Algorithm of Fuzzy Neural Networks with Triangular Fuzzy Weights. Fuzzy Sets and System, 1994, Vol. 71, 277–293.
Ishibuchi, H. K.; Morioka; Turksen, I. B. Learning by Fuzzified Neural Networks. Inter. J. AR, 1995, Vol. 13, 327–358.
Jiao, L. C. Theory of Neural Network. Xidian Press, 1990.
Kosko, B. Neural Networks and Fuzzy System. Prentice Hall, 1992.
Szu, H. H.; Telfer, B.; Kadambe, S. Neural Network Adaptive Wavelets for Signal Representation and Classification. Opt. Eng., 1992, Vol. 31, 1907–1916.
Zhang, J.; Walter, G. G.; Miao, Y.; Lee, W. N. W. Wavelet Neural Networks for Function Learning. IEEE Trans. SP, 1995, Vol. 43, 1485–1497.
Zhang, Q.; Benveniste, A. Wavelet Network. IEEE Trans. NN, 1992, Vol. 3, 889–989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Jiao, L.C., Liu, F., Wang, L., Zhang, Y.N. (1999). Fuzzy Wavelet Neural Networks: Theory and Applications. In: Chen, G., Ying, M., Cai, KY. (eds) Fuzzy Logic and Soft Computing. The International Series on Asian Studies in Computer and Information Science, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5261-1_9
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5261-1_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7399-5
Online ISBN: 978-1-4615-5261-1
eBook Packages: Springer Book Archive