A new index based on sparsity measures for comparing fuzzy partitions

Authors:
Romain Quéré;Carl Frélicot
Affiliations:
Mathématiques, Image et Applications, Université de La Rochelle, France;Mathématiques, Image et Applications, Université de La Rochelle, France
Venue:
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Year:
2012

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Abstract

This article adresses the problem of assessing how close two strict and/or fuzzy partitions are. A new index based on a measurement of the sparsity of the contingency matrix crossing the partitions is proposed that satisfies the required properties formulated within the paper and presents a low complexity. It is compared to well-known existing indices of the literature, such as the Rand and the Jaccard indices, the transfert distance and some of their recent fuzzy counterparts.