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An Intuitionistic Fuzzy Approach to Fuzzy Clustering of Numerical Dataset

  • N. Karthikeyani Visalakshi
  • S. Parvathavarthini
  • K. Thangavel
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 246)

Abstract

Fuzzy c-means (FCM) clustering is one of the most widely used fuzzy clustering algorithms. However, the main disadvantage of this algorithm is its sensitivity to noise and outliers. Intuitionistic fuzzy set is a suitable tool to cope with imperfectly defined facts and data, as well as with imprecise knowledge. So far, there exists a little investigation on FCM algorithm for clustering intuitionistic fuzzy data. This paper focuses mainly on two aspects. Firstly, it proposes an intuitionistic fuzzy representation (IFR) scheme for numerical dataset and applies the modified FCM clustering for clustering intuitionistic fuzzy (IF) data and comparing results with that of crisp and fuzzy data. Secondly, in clustering of IF data, different IF similarity measures are studied and a comparative analysis is carried out on the results. The experiments are conducted for numerical datasets of UCI machine learning data repository.

Keywords

Clustering Fuzzy c-means Intuitionistic fuzzy data Intuitionistic fuzzy similarity measure 

References

  1. 1.
    J. Leski, Towards a robust fuzzy clustering. Fuzzy Sets and Systems. 137(2) (2003) 215-233.Google Scholar
  2. 2.
    Banerjee A, Dave R.N, The fuzzy mega-cluster: Robustifying FCM by Scaling down memberships. In: Lecture Notes in Artificial Intelligence, Springer (2005).Google Scholar
  3. 3.
    Bohdan S. Butkiewicz, Robust fuzzy clustering with fuzzy data. In: Advances in web intelligence, Springer, Berlin, 2005.Google Scholar
  4. 4.
    KT. Atanassov, Intuitionistic fuzzy sets: past, present and future. In: Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology, 2003, pp. 12-19.Google Scholar
  5. 5.
    Nikos Pelekis, Dimitrios K. Iakovidis, Evangelos E. Kotsifakos, Ioannis Kopanakis, Fuzzy clustering of intuitionistic fuzzy data. International Journal of Business Intelligence and Data Mining 3(1) (2008) 45-65.Google Scholar
  6. 6.
    L.A. Zadeh, Fuzzy sets. Information and Control 8(3) (1965) 338-353.Google Scholar
  7. 7.
    Szmidt E, Kacprzyk J, A measure of similarity for intuitionistic fuzzy sets. In: Proceedings of 3rd conference of the European Society for fuzzy logic and technology, 2003, pp. 206-209.Google Scholar
  8. 8.
    Wen-Liang Hung, Miin-Shen Yang, Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recognition Letters 25(14) (2004) 1603-1611.Google Scholar
  9. 9.
    Pierpaolo D’Urso, Paolo Giordani A weighted fuzzy c-means clustering model for fuzzy data. Computational Statistics & Data Analysis 50(6) (2006) 1496-1523.Google Scholar
  10. 10.
    Wen-Liang Hung, Jinn-Shing Lee, Cheng-Der Fuh, Fuzzy Clustering Based On Intuitionistic Fuzzy Relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12(4) (2004) 513-530.Google Scholar
  11. 11.
    Dimitrios K. Iakovidis, Nikos Pelekis, Evangelos E. Kotsifakos, Ioannis Kopanakis, Intuitionistic fuzzy clustering with applications in computer vision. In: Advanced concepts for intelligent vision system. Springer, Berlin, 2008.Google Scholar
  12. 12.
    Ioannis K. Vlachos, George D. Sergiadis, The Role of Entropy in Intuitionistic Fuzzy Contrast Enhancement. Foundations of fuzzy logic and soft computing, Springer, Berlin, 2007.Google Scholar
  13. 13.
    Asuncion A, Newman DJ, UCI Repository of Machine Learning Databases. Irvine, University of California, http://www.ics.uci.eedu/~mlearn/, 2007.
  14. 14.
    Halkidi M, Batistakis Y, Vazirgiannis M, Cluster validity methods: part I. ACM SIGMOD Record 31(2) (2002) 19-27.Google Scholar

Copyright information

© Springer India 2014

Authors and Affiliations

  • N. Karthikeyani Visalakshi
    • 1
  • S. Parvathavarthini
    • 1
  • K. Thangavel
    • 2
  1. 1.Kongu Engineering CollegePerundurai, ErodeIndia
  2. 2.Periyar UniversitySalemIndia

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