Paper:

# Regularized Fuzzy *c*-Means Clustering and its Behavior at Point of Infinity

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

^{*}Shibaura Institute of Technology

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

^{**}University of Tsukuba

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

This study shows that a general regularized fuzzy *c*-means (rFCM) clustering algorithm, including some conventional clustering algorithms, can be constructed if a given regularizer function value, its derivative function value, and its inverse derivative function value can be calculated. Furthermore, the results of the study show that the behavior of the fuzzy classification function for rFCM at an infinity point is similar to that for some conventional clustering algorithms.

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

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.23, No.3, pp. 485-492, 2019.

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