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.

Keywords

Cluster analysis Rand index Jaccard Index Transfert distance Sparsity measure Fuzzy residual implications 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Romain Quéré
    • 1
  • Carl Frélicot
    • 1
  1. 1.Mathématiques, Image et ApplicationsUniversité de La RochelleFrance

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