Paper:

# Generalization of Tsallis Entropy-Based Fuzzy *c*-Means Clustering and its Behavior at the Infinity Point

## Yuchi Kanzawa^{*} and Sadaaki Miyamoto^{**}

^{*}Shibaura Institute of Technology

3-7-5 Toyosu, Koto-ku, Tokyo 135-8548, Japan

^{**}University of Tsukuba

1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan

*c*-means clustering, fuzzy classification function

This study presents a generalized Tsallis entropy-based fuzzy *c*-means (GTFCM) clustering algorithm. Furthermore, the results of this study show that the behavior of GTFCM, at an infinity point of the fuzzy classification function, is similar to that of some conventional clustering algorithms. This result implies that such behavior is determined by a certain part of the GTFCM objective function.

*c*-Means Clustering and its Behavior at the Infinity Point,”

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.26, No.6, pp. 884-892, 2022.

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