A Geometric Framework to Visualize Fuzzy-clustered Data

  • Authors:
  • Yuanquan Zhang;Luis Rueda

  • Affiliations:
  • University of Windsor, Ontario, Canada;University of Windsor, Ontario, Canada

  • Venue:
  • SCCC '05 Proceedings of the XXV International Conference on The Chilean Computer Science Society
  • Year:
  • 2005

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Abstract

Fuzzy clustering methods have been widely used in many applications. These methods, including fuzzy k-means and expectationmaximization, allow an object to be assigned to multi-clusters with different degrees of membership. However, the memberships that result from fuzzy clustering algorithms are difficult to analyze and visualize, and usually are converted to 0-1 memberships. In this paper, we propose a geometric framework to visualize fuzzy-clustered data. The scheme provides a geometric visualization by grouping the objects with similar cluster membership, and shows clear advantages over existing methods, demonstrating its capabilities for viewing and navigating inter-cluster relationships in a spatial manner.