Skip to main content

Fuzzy Clustering Finding Prototypes on Classes Boundary

  • Conference paper
Computer Recognition Systems 4

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 95))

Abstract

In the presented paper, new clustering method based on minimization of a criterion function is proposed. Its goal is to find prototypes placed near the classes boundary. The proposed method may be useful in applications to classification algorithms. The clustering performance was examined using the Ripley dataset, and the results seem to be encouraging.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bezdek, J.C.: Pattern recognition with fuzzy objective function algorithms. Plenum Press, New York (1982)

    Google Scholar 

  2. Burges, C.J.C.: A tutorial on suport vector machines for pattern recognition. Data Mining and Knowledge Discovery 2, 121–167 (1998)

    Article  Google Scholar 

  3. Duda, R.O., Hart, P.E.: Pattern classification and scene analysis. Wiley, New York (1973)

    MATH  Google Scholar 

  4. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern classification. Wiley Interscience, New York (2000)

    Google Scholar 

  5. Leski, J.: Ho-Kashyap classifier with generalization control. Pattern Recognition Letters 24, 2281–2290 (2003)

    Article  MATH  Google Scholar 

  6. Mangasarian, O.L., Musicant, D.R.: Lagrangian support vector machines. Journal of Machine Learning Research 1, 161–177 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. Pedrycz, W., Waletzky, J.: Fuzzy clustering with partial supervision. IEEE Trans. Systems, Man and Cybernetics - Part B: Cybernetics 27, 787–795 (1997)

    Article  Google Scholar 

  8. Ripley, B.D.: Pattern recognition and neural networks. Cambridge Univ. Press, Cambridge (1996)

    MATH  Google Scholar 

  9. Tou, J.T., Gonzalez, R.C.: Pattern recognition principles. Addison-Wesley, London (1974)

    MATH  Google Scholar 

  10. Vapnik, V.: Statistical learning theory. Wiley, New York (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jezewski, M., Leski, J. (2011). Fuzzy Clustering Finding Prototypes on Classes Boundary. In: Burduk, R., Kurzyński, M., Woźniak, M., Żołnierek, A. (eds) Computer Recognition Systems 4. Advances in Intelligent and Soft Computing, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20320-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20320-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20319-0

  • Online ISBN: 978-3-642-20320-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics