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International Journal of Approximate Reasoning
Volume 38, Issue 1, January 2005, Pages 1-17
 
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doi:10.1016/j.ijar.2004.03.002    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2004 Elsevier Inc. All rights reserved.

A fuzzy noise-rejection data partitioning algorithm

William W. MelekCorresponding Author Contact Information, E-mail The Corresponding Author, E-mail The Corresponding Author, a, Andrew A. Goldenberga and M. R. Emamib

a Robotics and Automation Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ont., Canada M5S 3G8 b Institute for Aerospace Studies, University of Toronto, 4925 Dufferin St., Ont., Canada M3H 5T6

Received 1 March 2003; 
accepted 1 March 2004. 
Available online 11 May 2004.

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Abstract

Fuzzy C-Means (FCM) and hard clustering are the most common tools for data partitioning. However, the presence of noisy observations in the data being partitioned may render these clustering algorithms unreliable. In this paper, we introduce a robust noise-rejection clustering algorithm based on a combination of techniques that treat the FCM pitfalls with an outliers exclusion criterion. Unlike the traditional FCM, the proposed clustering tool provides much efficient data partitioning capabilities in the presence of noise and outliers. At the conclusion of the theoretical development, we validate the effectiveness of the proposed noise-rejection data partitioning tool through various comparison studies with existing noise-rejection clustering approaches in the literature.

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