Skip to main content

An Improved Clustering Algorithm for Information Granulation

  • Conference paper
Book cover 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

C-means clustering is a popular technique to classify unlabeled data into dif-ferent categories. Hard c-means (HCM), fuzzy c-means (FCM) and rough c-means (RCM) were proposed for various applications. In this paper a fuzzy rough c-means algorithm (FRCM) is present, which integrates the advantage of fuzzy set theory and rough set theory. Each cluster is represented by a center, a crisp lower approximation and a fuzzy boundary. The Area of a lower approximation is controlled over a threshold T, which also influences the fuzziness of the final partition. The analysis shows the proposed FRCM achieves the trade-off between convergence and speed relative to HCM and FCM. FRCM will de-grade to HCM or FCM by changing the parameter T. One of the advantages of the proposed algorithm is that the membership of clustering results coincides with human’s perceptions, which makes the method has a potential application in understandable fuzzy information granulation.

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. Mac Queen, J.: Some methods for classification and analysis of multivariate observations. In: Le Cam, pp. 281–297.

    Google Scholar 

  2. Dunn, J.C.: Some recent investigations of a new fuzzy partition algorithm and its application to pattern classification problems. J. cybernetics 4, 1–15 (1974)

    Article  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  4. Pal, N.R., Bezdek, J.C.: On cluster validity for the fuzzy c-means model. IEEE transaction on fuzzy sytems 3, 370–379 (1995)

    Article  Google Scholar 

  5. Yu, J., Cheng, Q., Huang, H.: Analysis on weighting exponent in the FCM. IEEE Transaction on SMC, Part B—cybernetics 31, 634–639 (2004)

    Article  Google Scholar 

  6. Khan, S.S., Ahmad, A.: Cluster center initialization algorithms for K-means clustering. Pattern recognition letters 25, 1293–1302 (2004)

    Article  Google Scholar 

  7. Pawlak, Z.: Rough sets—theoretical aspects of reasoning about data. Kluwer academic publishers, Dordrecht (1991)

    MATH  Google Scholar 

  8. Jensen, R., Shen, Q.: Fuzzy-rough attribute reduction with application to web categorization. Fuzzy sets and systems 141, 469–485 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Wang, Y.-F.: Mining stock price using fuzzy rough set system. Expert Systems with Applications 24, 13–23 (2003)

    Article  Google Scholar 

  10. Dubois, D., Prade, H.: Putting fuzzy sets and rough sets together. In: Slowiniski, R. (ed.) Intelligent Decision support, pp. 203–232 (1992)

    Google Scholar 

  11. Wu, W., Zhang, W.: Constructive and axiomatic approaches of fuzzy approximation operators. Information Sciences 159, 233–254 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Lingras, P., West, C.: Interval set clustering of web users with rough k-means. Inter. J. of intell. Inform. system 23, 5–16 (2003)

    Article  Google Scholar 

  13. Asharaf, S., Murty, N.M.: A rough fuzzy approach to web usage categorization. Fuzzy sets and systems 148, 119–129 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  14. Hathaway, R.J., Bezdek, J.C.: C-means clustering strategies using Lp norm distance. IEEE Trans. On fuzzy systems. 8, 576–582 (2000)

    Article  Google Scholar 

  15. Li, R.P., Mukaidon, M.: A maximum entropy approach to fuzzy clustering. In: Proc. Of the 4th IEEE conf. on fuzzy systems, pp. 2227–2232 (1995)

    Google Scholar 

  16. Zadeh, L.A.: Fuzzy logic equals Computing with words. IEEE Transactions on fuzzy systems 2, 103–111 (1996)

    Article  MathSciNet  Google Scholar 

  17. Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy sets and systems 90, 111–127 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  18. Zadeh, L.A.: From computing with numbers to computing with words - From manipulation of measurements to manipulation of perceptions. IEEE Transactions on circuits and systems 46, 105–119 (1999)

    Article  MATH  MathSciNet  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

Hu, Q., Yu, D. (2005). An Improved Clustering Algorithm for Information Granulation. 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_63

Download citation

  • DOI: https://doi.org/10.1007/11539506_63

  • 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