EVCLUS: evidential clustering of proximity data

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Thierry Denoeux, Marie-Hélène Masson

Abstract

A new relational clustering method is introduced, based on the Dempster-Shafer theory of belief functions (or evidence theory). Given a matrix of dissimilarities between n objects, this method, referred to as evidential clustering (EVCLUS), assigns a basic belief assignment (or mass function) to each object in such a way that the degree of conflict between the masses given to any two objects reflects their dissimilarity. A notion of credal partition is introduced, which subsumes those of hard, fuzzy, and possibilistic partitions, allowing to gain deeper insight into the structure of the data. Experiments with several sets of real data demonstrate the good performances of the proposed method as compared with several state-of-the-art relational clustering techniques.

References

Feb 9, 1999·Neural Computation·T Graepel, K Obermayer
Feb 1, 1979·IEEE Transactions on Pattern Analysis and Machine Intelligence·D L Davies, D W Bouldin

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Citations

Jul 12, 2014·IEEE Transactions on Cybernetics·Zhun-Ga LiuJean Dezert
Sep 11, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Sébastien Destercke, Thomas Burger
May 8, 2014·IEEE Transactions on Cybernetics·Thierry DenouxAntoine Jouglet
Oct 14, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huawei GuoYong Deng
Jan 22, 2015·International Journal of Computer Assisted Radiology and Surgery·N BetrouniP Puech
Jul 19, 2014·Journal of Theoretical Biology·Xinyang DengSankaran Mahadevan
Jul 2, 2016·Journal of Digital Imaging·O ChilaliN Betrouni
Oct 21, 2015·IEEE Transactions on Neural Networks and Learning Systems·Imen HammamiJean Dezert
Jul 28, 2018·Computational Intelligence and Neuroscience·Khawla El BendadiEl Hassan Sbai
Jun 1, 2021·Frontiers in Big Data·Gianfranco Chicco

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