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Browse Journals & Magazines > Fuzzy Systems, IEEE Transacti ...> Volume:7 Issue:6 Help

Fuzzy order statistics and their application to fuzzy clustering

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1 Author(s)
Kersten, P.R. ; Dept. of Comput. Sci., Midwestern State Univ., Wichita Falls, TX, USA

The median and the median absolute deviation (MAD) are robust statistics based on order statistics. Order statistics are extended to fuzzy sets to define a fuzzy median and a fuzzy MAD. The fuzzy c-means (FCM) clustering algorithm is defined for any p-norm (pFCM), including the l1-norm (1FCM), The 1FCM clustering algorithm is implemented via the alternating optimization (AO) method and the clustering centers are shown to be the fuzzy median. The resulting AO-1FCM clustering algorithm is called the fuzzy c-medians (FCMED) clustering algorithm. An example illustrates the robustness of the FCMED

Published in:
Fuzzy Systems, IEEE Transactions on  (Volume:7 ,  Issue: 6 )

Date of Publication: Dec 1999

Page(s):
708 - 712
ISSN :
1063-6706
INSPEC Accession Number:
6466485
Digital Object Identifier :
10.1109/91.811239
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
Dec 1999
Sponsored by :
IEEE Computational Intelligence Society

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