Skip to main content

Fuzzy Model Identification Using Support Vector Clustering Method

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2714))

Abstract

We have observed that the support vector clustering method proposed by Asa Ben Hur, David Horn, Hava T. Siegelmann, Vladimir Vapnik, (Journal of Machine Learning Research, (2001), 125–137) can provide cluster boundaries of arbitrary shape based on a Gaussian kernel abstaining from explicit calculations in the high-dimensional feature space. This allows us to apply the method to the training set for building a fuzzy model. In this paper, we suggested a novel method for fuzzy model identification. The premise parameters of rules of the model are identified by the support vector clustering method while the consequent ones are tuned by the least squares method. Our model does not employ any additional method for parameter optimization after the initial model parameters are generated. It gives also promising performances in terms of a large number of rules. We compared the effectiveness and efficiency of our model to the fuzzy neural networks generated by various input space-partition techniques and some other networks.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Linkens, D.A., Min-You, C.: Input Selection and Partition Validation for Fuzzy Modelling Using Neural Network, Fuzzy Sets and Systems, Vol. 107. (1999) 299–308

    Article  MathSciNet  Google Scholar 

  2. Mu-Song, C., Shinn-Wen, W.: Fuzzy Clustering Analysis for Optimizing Fuzzy Membership Functions, Fuzzy Sets and Systems, Vol. 103. (1999) 239–254

    Article  Google Scholar 

  3. Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Prentice-Hall 1997

    Google Scholar 

  4. Ben-Hur, A., Hor, D., Siegelmann, H.T., Vapnik, V.: Support Vector Clustering, Journal of Machine Learning Research, Vol. 2. (2001) 125–137

    Article  Google Scholar 

  5. Duda, R.O., Hart, E.P., Stork, D.G.: Pattern Classification, John Wiley, New York 2001

    MATH  Google Scholar 

  6. Suykens, J.A.K., Gestel, T.V., Brabanter, J.D., Moor, D.B., Vandewalle J.: Least Squares Support Vector Machine, World Scientific 2002

    Google Scholar 

  7. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning Internal Representations by Error Propagation, Parallel Data Processing, Cambridge, MA: MIT Press, Vol. 1. (1986)

    Google Scholar 

  8. Bors, A.G., Pitas, I.: Median Radial Basis Function Neural Network, IEEE Trans. Neural Networks, Vol. 7. (1996) 1351–1364

    Article  Google Scholar 

  9. Ignacio, R., Hector, P., Julio, O., Alberto, P.: Self-Organized Fuzzy System Generation from Training Examples, IEEE Trans. Fuzzy Systems, Vol. 8. (2000) 23–36

    Article  Google Scholar 

  10. Cristianini, N., Shawe-Taylor, J.: An Introduction to Support Vector Machines, Cambridge University Press 2000

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Uçar, A., Demir, Y., Güzeliş, C. (2003). Fuzzy Model Identification Using Support Vector Clustering Method. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_28

Download citation

  • DOI: https://doi.org/10.1007/3-540-44989-2_28

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40408-8

  • Online ISBN: 978-3-540-44989-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics