Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

A Study on Cluster Size Sensitivity of Fuzzy c-Means Algorithm Variants

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9948))

Included in the following conference series:

Abstract

Detecting clusters of different sizes represents a serious difficulty for all c-means clustering models. This study investigates the set of various modified fuzzy c-means clustering algorithms within the bounds of the probabilistic constraint, from the point of view of their sensitivity to cluster sizes. Two numerical frameworks are constructed, one of them addressing clusters of different cardinalities but relatively similar diameter, while the other manipulating with both cluster cardinality and diameter. The numerical evaluations have shown the existence of algorithms that can effectively handle both cases. However, these are difficult to automatically adjust to the input data through their parameters.

The work of S.M. Szilágyi was supported by the János Bolyai Fellowship Program of the Hungarian Academy of Sciences.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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 EPUB and 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

Institutional subscriptions

Similar content being viewed by others

References

  1. Dunn, J.C.: A fuzzy relative of the isodata process and its use in detecting compact well-separated clusters. Cybern. Syst. 3(3), 32–57 (1973)

    MathSciNet  MATH  Google Scholar 

  2. Bezdek, J.C.: Pattern recognition with fuzzy objective function algorithms. Plenum, New York (1981)

    Book  MATH  Google Scholar 

  3. Komazaki, Y., Miyamoto, S.: Variables for Controlling Cluster Sizes on Fuzzy c-Means. In: Torra, V., Narukawa, Y., Navarro-Arribas, G., Megías, D. (eds.) MDAI 2013. LNCS, vol. 8234, pp. 192–203. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  4. Anderson, E.: The irises of the Gaspe peninsula. Bull. Am. Iris Soc. 59, 2–5 (1935)

    Google Scholar 

  5. Fan, J.L., Zhen, W.Z., Xie, W.X.: Suppressed fuzzy \(c\)-means clustering algorithm. Patt. Recogn. Lett. 24, 1607–1612 (2003)

    Article  MATH  Google Scholar 

  6. Szilágyi, L., Szilágyi, S.M.: Generalization rules for the suppressed fuzzy \(c\)-means clustering algorithm. Neurocomput. 139, 298–309 (2014)

    Article  Google Scholar 

  7. Höppner, F., Klawonn, F.: Improved fuzzy partition for fuzzy regression models. Int. J. Approx. Reason. 5, 599–613 (2003)

    MathSciNet  MATH  Google Scholar 

  8. Zhu, L., Chung, F.L., Wang, S.: Generalized fuzzy \(c\)-means clustering algorithm with improved fuzzy partition. IEEE Trans. Syst. Man Cybern. B. 39, 578–591 (2009)

    Article  Google Scholar 

  9. Miyamoto, S., Kurosawa, N.: Controlling cluster volume sizes in fuzzy \(c\)-means clustering. In: SCIS and ISIS, Yokohama, Japan, pp. 1–4 (2004)

    Google Scholar 

  10. Yang, M.S.: On a class of fuzzy classification maximum likelihood procedures. Fuzzy Sets Syst. 57(3), 365–375 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  11. Noordam, J., Van Den Broek, W., Buydens, L.: Multivariate image segmentation with cluster size insensitive fuzzy \(c\)-means. Chemom. Intell. Lab. Syst. 64(1), 65–78 (2002)

    Article  Google Scholar 

  12. Lin, P.L., Huang, P.W., Kuo, C.H., Lai, Y.H.: A size-insensitive integrity-based fuzzy \(c\)-means method for data clustering. Patt. Recogn. 47(5), 2024–2056 (2014)

    Article  Google Scholar 

  13. Szilágyi, L.: A Unified Theory of Fuzzy c-Means Clustering Models with Improved Partition. In: Torra, V., Narukawa, T. (eds.) MDAI 2015. LNCS, vol. 9321, pp. 129–140. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to László Szilágyi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Szilágyi, L., Szilágyi, S.M., Enăchescu, C. (2016). A Study on Cluster Size Sensitivity of Fuzzy c-Means Algorithm Variants. In: Hirose, A., Ozawa, S., Doya, K., Ikeda, K., Lee, M., Liu, D. (eds) Neural Information Processing. ICONIP 2016. Lecture Notes in Computer Science(), vol 9948. Springer, Cham. https://doi.org/10.1007/978-3-319-46672-9_53

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46672-9_53

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46671-2

  • Online ISBN: 978-3-319-46672-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics