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
Event2008 IEEE International Conference on Granular Computing, GRC 2008 - Hangzhou
Duration: 2008 Aug 262008 Aug 28

Other

Other2008 IEEE International Conference on Granular Computing, GRC 2008
CityHangzhou
Period08/8/2608/8/28

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Entropy
Clustering algorithms

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Software

Cite this

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] https://doi.org/10.1109/GRC.2008.4664765

Fuzzy classification function of entropy regularized fuzzy c-means algorithm for data with tolerance using kernel function. / Kanzawa, Yuchi; Endo, Yasunori; Miyamoto, Sadaaki.

2008 IEEE International Conference on Granular Computing, GRC 2008. 2008. p. 350-355 4664765.

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

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., 4664765, pp. 350-355, 2008 IEEE International Conference on Granular Computing, GRC 2008, Hangzhou, 08/8/26. https://doi.org/10.1109/GRC.2008.4664765
Kanzawa Y, Endo Y, Miyamoto S. 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. 2008. p. 350-355. 4664765 https://doi.org/10.1109/GRC.2008.4664765
Kanzawa, Yuchi ; Endo, Yasunori ; Miyamoto, Sadaaki. / Fuzzy classification function of entropy regularized fuzzy c-means algorithm for data with tolerance using kernel function. 2008 IEEE International Conference on Granular Computing, GRC 2008. 2008. pp. 350-355
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