Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7051
Title: MiniMax epsilon-stable cluster validity index for Type-2 fuzziness
Authors: Özkan, İbrahim
Türkşen, İsmail Burhan
Keywords: Uncertainty
Entropy
Optimum number of clusters
Type-2 fuzziness
Issue Date: 2012
Publisher: Elsevier Science Inc
Abstract: In this paper, we concentrate on the usage of uncertainty associated with the level of fuzziness in determination of the number of clusters in FCM for any data set. We propose a MiniMax epsilon-stable cluster validity index based on the uncertainty associated with the level of fuzziness within the framework of interval valued Type 2 fuzziness. If the data have a clustered structure, the optimum number of clusters may be assumed to have minimum uncertainty under upper and lower levels of fuzziness. Upper and lower values of the level of fuzziness for Fuzzy C-Mean (FCM) clustering methodology have been found as m = 2.6 and 1.4, respectively, in our previous studies. Our investigation shows that the stability of cluster centers with respect to the level of fuzziness is sufficient for the determination of the number of clusters. (C) 2011 Elsevier Inc. All rights reserved.
URI: https://doi.org/10.1016/j.ins.2011.07.036
https://hdl.handle.net/20.500.11851/7051
ISSN: 0020-0255
1872-6291
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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