Skip to main content

A Self-constructing Compensatory Fuzzy Wavelet Network and Its Applications

  • Conference paper
Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

Included in the following conference series:

Abstract

By utilizing some of the important properties of wavelets like denoising, compression, multiresolution along with the concepts of fuzzy logic and neural network, a new self-constructing fuzzy wavelet neural networks (SCFWNN) using compensatory fuzzy operators are proposed for intelligent fault diagnosis. An on-line learning algorithm is applied to automatically construct the SCFWNN. There are no rules initially in the SCFWNN. They are created and adapted as on-line learning proceeds via simultaneous structure and parameter learning. The advantages of this learning algorithm are that it converges quickly and the obtained fuzzy rules are more precise. The proposed SCFWNN is much more powerful than either the neural network or the fuzzy system since it can incorporate the advantages of both. The results of simulation show that this SCFWNN method has the advantage of faster learning rate and higher diagnosing precision.

Foundation item: Project supported by the National High-Tech. R&D Program for CIMS, China (Grant No. 2003AA414210).

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 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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

  1. Zhang, Y.Q., Kandel, A.: Compensatory Genetic Fuzzy Neural Networks And Their Appli-cations. World Scientific, Singapore (1998)

    Book  Google Scholar 

  2. Kosko, B.: Neural Networks and Fuzzy Systems. Prentice-Hall, Englewood Cliffs (1992)

    MATH  Google Scholar 

  3. Jang, J.S.R.: ANFIS: Adaptive-network-based fuzzy inference system. IEEE Trans. Systems, Man, and Cybernetics 23, 665–685 (1993)

    Article  Google Scholar 

  4. Carpenter, G.A., Groosberg, S., Markuzon, N., Renold, J.H., Rosen, D.B.: Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimen-sional maps. IEEE Trans. On Neural network 3, 698–713 (1992)

    Article  Google Scholar 

  5. Wang, L.X.: Adaptive Fuzzy systems and Control. Prentice-Hall, Englewood Cliffs (1994)

    Google Scholar 

  6. Lin, C., Lee, C.S.G.: Reinforcement structure/parameter learning for neural-network based fuzzy logic control systems. IEEE Transactions on Fuzzy Systems 2, 46–63 (1994)

    Article  Google Scholar 

  7. Ho, D.W.C., Zhang, P.A., Xu, J.: Fuzzy wavelet networks for function learning. IEEE Trans. on Fuzzy Syst. 9, 200–211 (2001)

    Article  Google Scholar 

  8. Javadpour, R., Knapp, G.M.: A fuzzy neural network approach to machine condition monitoring. Computers & Industrial Engineering 45, 323–330 (2003)

    Article  Google Scholar 

  9. Lin, F.J., Lin, C.H., Shen, P.H.: Self-Constructing Fuzzy Neural Network Speed Controller for Permanent-Magnet Synchronous Motor Drive. IEEE Transactions on Fuzzy Systems 9, 751–759 (2001)

    Article  Google Scholar 

  10. Zhang, Y.Q., Kandel, A.: Compensatory Neurofuzzy Systems with Fast Learning Algorithms. IEEE Trans. on Neural Networks 9, 83–105 (1998)

    Article  Google Scholar 

  11. Juang, C.F., Lin, C.T.: An On-Line Self-Constructing Neural Fuzzy Inference Network and Its Applications. IEEE Trans. on Fuzzy Systems 6, 12–31 (1998)

    Article  Google Scholar 

  12. Zhang, Q.: Using wavelet networks in nonparametric estimation. IEEE Trans. Neural Networks 8, 227–236 (1997)

    Article  Google Scholar 

  13. Zhang, Q., Benveniste, A.: Wavelet networks. IEEE Trans. Neural Networks 3, 889–898 (1992)

    Article  Google Scholar 

  14. Zhang, J., Walter, G.G., Lee, W.N.W.: Wavelet neural networks for function learning. IEEE Trans. Signal Processing 43, 1485–1497 (1995)

    Article  Google Scholar 

  15. Pillay, P., Bhattachariee, A.: Application of wavelets to model short-term power system disturbances. IEEE Trans. Power Syst. 11, 2031–2037 (1996)

    Article  Google Scholar 

  16. Guo, Q.J., Yu, H.B., Xu, A.D.: Wavelet Neural Networks for Intelligent Fault Diagnosis. In: The International Symposium on Intelligence Computation & Applications, Wuhan,China, pp. 477–485 (2005)

    Google Scholar 

  17. Lin, C.J., Lin, C.T.: An ART-Based Fuzzy Adaptive Learning Control Network. IEEE Trans. on Fuzzy Systems 5, 477–496 (1997)

    Article  Google Scholar 

  18. Daubechies, I.: The wavelet transform, time–frequency localization, and signal analysis. IEEE Trans. Inform. Theory 36, 961–1005 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  19. Mallat, S.: A theory for multi-resolution signal decomposition: The wavelet representation. IEEE Trans. Pattern Anal. Machine Intell. 11, 674–693 (1989)

    Article  MATH  Google Scholar 

  20. Zimmermann, H.J., Zysno, P.: Latent connective in human decision. Fuzzy Sets and Systems 4, 31–51 (1980)

    Article  MathSciNet  Google Scholar 

  21. Guo, Q.J., Yu, H.B., Xu, A.D.: Research and Development on Distributed Condition-Based Maintenance Open System. Computer Integrated Manufacturing Systems 3, 416–421 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yu, H., Guo, Q., Xu, A. (2005). A Self-constructing Compensatory Fuzzy Wavelet Network and Its Applications. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_93

Download citation

  • DOI: https://doi.org/10.1007/11539506_93

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics