Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory
IEEE In evidential clustering, cluster-membership uncertainty is represented by Dempster-Shafer mass functions. The notion of evidential partition generalizes other soft clustering structures such as fuzzy, possibilistic or rough partitions. In this paper, we propose two extensions of the Rand index...
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th-cmuir.6653943832-403492017-09-28T04:09:01Z Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory Denoeux T. Li S. Sriboonchitta S. IEEE In evidential clustering, cluster-membership uncertainty is represented by Dempster-Shafer mass functions. The notion of evidential partition generalizes other soft clustering structures such as fuzzy, possibilistic or rough partitions. In this paper, we propose two extensions of the Rand index for evaluating and comparing evidential partitions, called similarity and consistency indices. The similarity index is suitable for measuring the closeness of two soft partitions, while the consistency index allows one to assess the agreement, or lack of conflict, between a soft partition and the true hard partition. Simulation experiments illustrate some applications of these indices. 2017-09-28T04:09:01Z 2017-09-28T04:09:01Z Journal 10636706 2-s2.0-85021814934 10.1109/TFUZZ.2017.2718484 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85021814934&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40349 |
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IEEE In evidential clustering, cluster-membership uncertainty is represented by Dempster-Shafer mass functions. The notion of evidential partition generalizes other soft clustering structures such as fuzzy, possibilistic or rough partitions. In this paper, we propose two extensions of the Rand index for evaluating and comparing evidential partitions, called similarity and consistency indices. The similarity index is suitable for measuring the closeness of two soft partitions, while the consistency index allows one to assess the agreement, or lack of conflict, between a soft partition and the true hard partition. Simulation experiments illustrate some applications of these indices. |
| format |
Journal |
| author |
Denoeux T. Li S. Sriboonchitta S. |
| spellingShingle |
Denoeux T. Li S. Sriboonchitta S. Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| author_facet |
Denoeux T. Li S. Sriboonchitta S. |
| author_sort |
Denoeux T. |
| title |
Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| title_short |
Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| title_full |
Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| title_fullStr |
Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| title_full_unstemmed |
Evaluating and Comparing Soft Partitions: an Approach Based on Dempster-Shafer Theory |
| title_sort |
evaluating and comparing soft partitions: an approach based on dempster-shafer theory |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85021814934&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40349 |
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