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JACIII Vol.22 No.4 pp. 524-536
doi: 10.20965/jaciii.2018.p0524
(2018)

Paper:

Fuzzy Clustering Methods for Categorical Multivariate Data Based on q-Divergence

Tadafumi Kondo and Yuchi Kanzawa

Shibaura Institute of Technology
3-7-5 Toyosu, Koto, Tokyo 135-8548, Japan

Received:
December 15, 2017
Accepted:
February 8, 2018
Published:
July 20, 2018
Keywords:
fuzzy clustering, categorical multivariate data, KL-divergence, q-divergence
Abstract

This paper presents two fuzzy clustering algorithms for categorical multivariate data based on q-divergence. First, this study shows that a conventional method for vectorial data can be explained as regularizing another conventional method using q-divergence. Second, based on the known results that Kullback-Leibler (KL)-divergence is generalized into the q-divergence, and two conventional fuzzy clustering methods for categorical multivariate data adopt KL-divergence, two fuzzy clustering algorithms for categorical multivariate data that are based on q-divergence are derived from two optimization problems built by extending the KL-divergence in these conventional methods to the q-divergence. Through numerical experiments using real datasets, the proposed methods outperform the conventional methods in term of clustering accuracy.

Cite this article as:
T. Kondo and Y. Kanzawa, “Fuzzy Clustering Methods for Categorical Multivariate Data Based on q-Divergence,” J. Adv. Comput. Intell. Intell. Inform., Vol.22, No.4, pp. 524-536, 2018.
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Last updated on Aug. 16, 2018