ECM: An evidential version of the fuzzy c-means algorithm
A new clustering method for object data, called ECM (evidential c-means) is introduced, in the theoretical framework of belief functions. It is based on the concept of credal partition, extending those of hard, fuzzy, and possibilistic ones. To derive such a structure, a suitable objective function...
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| Vydáno v: | Pattern recognition Ročník 41; číslo 4; s. 1384 - 1397 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Oxford
Elsevier Ltd
01.04.2008
Elsevier Science |
| Témata: | |
| ISSN: | 0031-3203, 1873-5142 |
| On-line přístup: | Získat plný text |
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| Abstract | A new clustering method for object data, called ECM (evidential
c-means) is introduced, in the theoretical framework of belief functions. It is based on the concept of credal partition, extending those of hard, fuzzy, and possibilistic ones. To derive such a structure, a suitable objective function is minimized using an FCM-like algorithm. A validity index allowing the determination of the proper number of clusters is also proposed. Experiments with synthetic and real data sets show that the proposed algorithm can be considered as a promising tool in the field of exploratory statistics. |
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| AbstractList | A new clustering method for object data, called ECM (evidential
c-means) is introduced, in the theoretical framework of belief functions. It is based on the concept of credal partition, extending those of hard, fuzzy, and possibilistic ones. To derive such a structure, a suitable objective function is minimized using an FCM-like algorithm. A validity index allowing the determination of the proper number of clusters is also proposed. Experiments with synthetic and real data sets show that the proposed algorithm can be considered as a promising tool in the field of exploratory statistics. |
| Author | Masson, Marie-Hélène Denœux, T. |
| Author_xml | – sequence: 1 givenname: Marie-Hélène surname: Masson fullname: Masson, Marie-Hélène email: mmasson@hds.utc.fr – sequence: 2 givenname: T. surname: Denœux fullname: Denœux, T. |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20009741$$DView record in Pascal Francis |
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| Keywords | Belief functions Cluster validity Evidence theory Dempster–Shafer theory Robustness Clustering Unsupervised learning Automatic classification Belief function Dempster-Shafer theory Signal classification Credal approach Fuzzy algorithm Dempster Shafer theory Objective function |
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| Title | ECM: An evidential version of the fuzzy c-means algorithm |
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