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Fuzzy Cluster Validation Based on Fuzzy PCA-Guided Procedure

Fuzzy Cluster Validation Based on Fuzzy PCA-Guided Procedure

K. Honda, A. Notsu, T. Matsui, H. Ichihashi
Copyright: © 2011 |Volume: 1 |Issue: 1 |Pages: 12
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781613507056|DOI: 10.4018/ijfsa.2011010104
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MLA

Honda, K., et al. "Fuzzy Cluster Validation Based on Fuzzy PCA-Guided Procedure." IJFSA vol.1, no.1 2011: pp.49-60. http://doi.org/10.4018/ijfsa.2011010104

APA

Honda, K., Notsu, A., Matsui, T., & Ichihashi, H. (2011). Fuzzy Cluster Validation Based on Fuzzy PCA-Guided Procedure. International Journal of Fuzzy System Applications (IJFSA), 1(1), 49-60. http://doi.org/10.4018/ijfsa.2011010104

Chicago

Honda, K., et al. "Fuzzy Cluster Validation Based on Fuzzy PCA-Guided Procedure," International Journal of Fuzzy System Applications (IJFSA) 1, no.1: 49-60. http://doi.org/10.4018/ijfsa.2011010104

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Abstract

Cluster validation is an important issue in fuzzy clustering research and many validity measures, most of which are motivated by intuitive justification considering geometrical features, have been developed. This paper proposes a new validation approach, which evaluates the validity degree of cluster partitions from the view point of the optimality of objective functions in FCM-type clustering. This approach makes it possible to evaluate the validity degree of robust cluster partitions, in which geometrical features are not available because of their possibilistic natures.

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