FUZZSAM - Visualization of fuzzy clustering results by modified Sammon mapping

Janos Abonyi, Robert Babuska

Research output: Conference contribution

11 Citations (Scopus)

Abstract

Since in practical data mining problems high-dimensional data are clustered, the resulting clusters are high-dimensional geometrical objects, which are difficult to analyze and interpret. Cluster validity measures try to solve this problem by providing a single numerical value. As a low dimensional graphical representation of the clusters could be much more informative than such a single value, this paper proposes a new tool for the visualization of fuzzy clustering results. By using the basic properties of fuzzy clustering algorithms, this new tool maps the cluster centers and the data such that the distances between the clusters and the data-points are preserved. During the iterative mapping process, the algorithm uses the membership values of the data and minimizes an objective function similar to the original clustering algorithm. Comparing to the original Sammon mapping not only reliable cluster shapes are obtained but the numerical complexity of the algorithm is also drastically reduced. The algorithm has been applied to several data sets and the numerical results show performance superior to Principal Component Analysis and the classical Sammon mapping based projection. The examples demonstrate that proposed FUZZSAMM algorithm is a useful tool in user-guided clustering.

Original languageEnglish
Title of host publication2004 IEEE International Conference on Fuzzy Systems - Proceedings
Pages365-370
Number of pages6
DOIs
Publication statusPublished - dec. 1 2004
Event2004 IEEE International Conference on Fuzzy Systems - Proceedings - Budapest, Hungary
Duration: júl. 25 2004júl. 29 2004

Publication series

NameIEEE International Conference on Fuzzy Systems
Volume1
ISSN (Print)1098-7584

Other

Other2004 IEEE International Conference on Fuzzy Systems - Proceedings
CountryHungary
CityBudapest
Period7/25/047/29/04

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

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  • Cite this

    Abonyi, J., & Babuska, R. (2004). FUZZSAM - Visualization of fuzzy clustering results by modified Sammon mapping. In 2004 IEEE International Conference on Fuzzy Systems - Proceedings (pp. 365-370). (IEEE International Conference on Fuzzy Systems; Vol. 1). https://doi.org/10.1109/FUZZY.2004.1375750