Fuzzy classification function of entropy regularized fuzzy c-means algorithm for data with tolerance using kernel function

Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this paper, the fuzzy classification functions of the entropy regularized fuzzy c-means for data with tolerance using kernel functions are proposed. First, the standard clustering algorithm for data with tolerance using kernel functions are introduced. Second, the fuzzy classification function for fuzzy c-means without tolerance using kernel functions is discussed as the solution of a certain optimization problem. Third, the optimization problem is shown so that the solutions are the fuzzy classification function values for the entropy regularized fuzzy c-means algorithms using kernel functions with respect to data with tolerance. Fourth, Karush-Kuhn-Tucker conditions of the objective function is considered, and the iterative algorithm is proposed for the optimization problem. Some numerical examples are shown.

Original languageEnglish
Title of host publication2008 IEEE International Conference on Granular Computing, GRC 2008
Pages350-355
Number of pages6
DOIs
Publication statusPublished - 2008 Dec 30
Event2008 IEEE International Conference on Granular Computing, GRC 2008 - Hangzhou, China
Duration: 2008 Aug 262008 Aug 28

Publication series

Name2008 IEEE International Conference on Granular Computing, GRC 2008

Conference

Conference2008 IEEE International Conference on Granular Computing, GRC 2008
CountryChina
CityHangzhou
Period08/8/2608/8/28

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Software

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    Kanzawa, Y., Endo, Y., & Miyamoto, S. (2008). Fuzzy classification function of entropy regularized fuzzy c-means algorithm for data with tolerance using kernel function. In 2008 IEEE International Conference on Granular Computing, GRC 2008 (pp. 350-355). [4664765] (2008 IEEE International Conference on Granular Computing, GRC 2008). https://doi.org/10.1109/GRC.2008.4664765