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JACIII Vol.16 No.1 pp. 162-168
doi: 10.20965/jaciii.2012.p0162
(2012)

Paper:

On Kernel Fuzzy c-Means for Data with Tolerance Using Explicit Mapping for Kernel Data Analysis

Yuchi Kanzawa*, Yasunori Endo**,
and Sadaaki Miyamoto**

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

**University of Tsukuba

Received:
January 15, 2011
Accepted:
October 3, 2011
Published:
January 20, 2012
Keywords:
fuzzy c-means, kernel data analysis, explicit mapping, tolerance
Abstract

While explicit mapping is generally unknown for kernel data analysis, its inner product should be known. Although we proposed a kernel fuzzy c-means algorithm for data with tolerance, cluster centers and tolerance in higher dimensional space have not been seen. Contrary to this common assumption, explicit mapping has been introduced and the situation of kernel fuzzy c-means in higher dimensional space has been described via kernel principal component analysis using explicit mapping. In this paper, cluster centers and the tolerance of kernel fuzzy c-means for data with tolerance are described via kernel principal component analysis using explicit mapping.

Cite this article as:
Y. Kanzawa, Y. Endo, and <. Miyamoto, “On Kernel Fuzzy c-Means for Data with Tolerance Using Explicit Mapping for Kernel Data Analysis,” J. Adv. Comput. Intell. Intell. Inform., Vol.16, No.1, pp. 162-168, 2012.
Data files:
References
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Last updated on Jan. 21, 2019