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JACIII Vol.22 No.5 pp. 747-758
doi: 10.20965/jaciii.2018.p0747
(2018)

Paper:

MMMs-Induced Possibilistic Fuzzy Co-Clustering and its Characteristics

Seiki Ubukata, Katsuya Koike, Akira Notsu, and Katsuhiro Honda

Osaka Prefecture University
1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan

Received:
February 28, 2018
Accepted:
June 13, 2018
Published:
September 20, 2018
Keywords:
fuzzy clustering, fuzzy co-clustering, noise clustering, possibilistic clustering.
Abstract

In the field of cluster analysis, fuzzy theory including the concept of fuzzy sets has been actively utilized to realize flexible and robust clustering methods. Fuzzy C-means (FCM), which is the most representative fuzzy clustering method, has been extended to achieve more robust clustering. For example, noise FCM (NFCM) performs noise rejection by introducing a noise cluster that absorbs noise objects and possibilistic C-means (PCM) performs the independent extraction of possibilistic clusters by introducing cluster-wise noise clusters. Similarly, in the field of co-clustering, fuzzy co-clustering induced by multinomial mixture models (FCCMM) was proposed and extended to noise FCCMM (NFCCMM) in an analogous fashion to the NFCM. Ubukata et al. have proposed noise clustering-based possibilistic co-clustering induced by multinomial mixture models (NPCCMM) in an analogous fashion to the PCM. In this study, we develop an NPCCMM scheme considering variable cluster volumes and the fuzziness degree of item memberships to investigate the specific aspects of fuzzy nature rather than probabilistic nature in co-clustering tasks. We investigated the characteristics of the proposed NPCCMM by applying it to an artificial data set and conducted document clustering experiments using real-life data sets. As a result, we found that the proposed method can derive more flexible possibilistic partitions than the probabilistic model by adjusting the fuzziness degrees of object and item memberships. The document clustering experiments also indicated the effectiveness of tuning the fuzziness degree of object and item memberships, and the optimization of cluster volumes to improve classification performance.

Possibilistic partitions of objects obtained by the proposed MMMs-induced possibilistic fuzzy co-clustering with different fuzziness degrees of objects and items

Possibilistic partitions of objects obtained by the proposed MMMs-induced possibilistic fuzzy co-clustering with different fuzziness degrees of objects and items"," and the parameter of noise rejection

Cite this article as:
S. Ubukata, K. Koike, A. Notsu, and K. Honda, “MMMs-Induced Possibilistic Fuzzy Co-Clustering and its Characteristics,” J. Adv. Comput. Intell. Intell. Inform., Vol.22 No.5, pp. 747-758, 2018.
Data files:
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