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JACIII Vol.15 No.8 pp. 1050-1056
doi: 10.20965/jaciii.2011.p1050
(2011)

Paper:

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Non-Euclidean Extension of FCMdd-Based Linear Clustering for Relational Data

Takeshi Yamamoto, Katsuhiro Honda, Akira Notsu,
and Hidetomo Ichihashi

Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka, Japan

Received:
March 3, 2011
Accepted:
July 15, 2011
Published:
October 20, 2011
Creative Commons License
Keywords:
relational clustering, linear fuzzy clustering, non-Euclidean data
Abstract
Relational data is common in many real-world applications. Linear fuzzy clustering models have been extended for handling relational data based on Fuzzy c-Medoids (FCMdd) framework. In this paper, with the goal being to handle non-Euclidean data, β-spread transformation of relational data matrices used in Non-Euclidean-type Relational Fuzzy (NERF) c-means is applied before FCMdd-type linear cluster extraction. β-spread transformation modifies data elements to avoid negative values for clustering criteria of distances between objects and linear prototypes. In numerical experiments, typical features of the proposed approach are demonstrated not only using artificially generated data but also in a document classification task with a document-keyword co-occurrence relation.
Cite this article as:
T. Yamamoto, K. Honda, A. Notsu, and H. Ichihashi, “Non-Euclidean Extension of FCMdd-Based Linear Clustering for Relational Data,” J. Adv. Comput. Intell. Intell. Inform., Vol.15 No.8, pp. 1050-1056, 2011.
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