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Fuzzy clustering of non-convex patterns using global optimization

Beliakov, Gleb 2001, Fuzzy clustering of non-convex patterns using global optimization, in Meeting the grand challenge : machines that serve people : [proceedings of] the 10th IEEE International Conference on Fuzzy Systems, December 2001, 2-5 December, the University of Melbourne, Australia, IEEE, Melbourne, Vic, pp. 220-223.

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Title Fuzzy clustering of non-convex patterns using global optimization
Author(s) Beliakov, Gleb
Conference name IEEE International Conference on Fuzzy Systems (10th : 2001 : Melbourne, Australia)
Conference location University of Melbourne
Conference dates 2-5 December 2001
Title of proceedings Meeting the grand challenge : machines that serve people : [proceedings of] the 10th IEEE International Conference on Fuzzy Systems, December 2001, 2-5 December, the University of Melbourne, Australia
Editor(s) Hong, Yan
Publication date 2001
Conference series IEEE International Conference on Fuzzy Systems
Start page 220
End page 223
Publisher IEEE
Place of publication Melbourne, Vic
Keyword(s) fuzzy set theory
optimisation
pattern clustering
Summary This paper discusses various extensions of the classical within-group sum of squared errors functional, routinely used as the clustering criterion. Fuzzy c-means algorithm is extended to the case when clusters have irregular shapes, by representing the clusters with more than one prototype. The resulting minimization problem is non-convex and non-smooth. A recently developed cutting angle method of global optimization is applied to this difficult problem
Notes This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
ISBN 078037293X
9780780372931
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
HERDC Research category E1 Full written paper - refereed
Copyright notice ©2001, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30004552

Document type: Conference Paper
Collections: School of International and Political Studies
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