Skip to main content

Fuzzy Wavelet Neural Networks: Theory and Applications

  • Chapter
Fuzzy Logic and Soft Computing

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

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.

    Article  MathSciNet  MATH  Google Scholar 

  • Buckley, J.; Hayashi, Y. Fuzzy Neural Networks: A Survey. Fuzzy Sets and System, 1994, Vol. 66, 1–13.

    Article  MathSciNet  Google Scholar 

  • Chui, K. An Introduction to Wavelet. New York: Academic Press, 1992.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Ishibuchi, H. K.; Morioka; Turksen, I. B. Learning by Fuzzified Neural Networks. Inter. J. AR, 1995, Vol. 13, 327–358.

    MATH  Google Scholar 

  • Jiao, L. C. Theory of Neural Network. Xidian Press, 1990.

    Google Scholar 

  • Kosko, B. Neural Networks and Fuzzy System. Prentice Hall, 1992.

    Google Scholar 

  • Szu, H. H.; Telfer, B.; Kadambe, S. Neural Network Adaptive Wavelets for Signal Representation and Classification. Opt. Eng., 1992, Vol. 31, 1907–1916.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Zhang, Q.; Benveniste, A. Wavelet Network. IEEE Trans. NN, 1992, Vol. 3, 889–989.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics