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Author:

Denoeux, Thierry (Denoeux, Thierry.) | Li, Shoumei (Li, Shoumei.) (Scholars:李寿梅) | Sriboonchitta, Songsak (Sriboonchitta, Songsak.)

Indexed by:

EI Scopus SCIE

Abstract:

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, whereas 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.

Keyword:

Belief functions clustering evidence theory cluster validity measure

Author Community:

  • [ 1 ] [Denoeux, Thierry]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Li, Shoumei]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 3 ] [Denoeux, Thierry]Univ Technol Compiegne, Sorbonne Univ, CNRS, UMR Heudiasyc 7253, F-60200 Compiegne, France
  • [ 4 ] [Sriboonchitta, Songsak]Chiang Mai Univ, Fac Econ, Chiang Mai 50200, Thailand

Reprint Author's Address:

  • [Denoeux, Thierry]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

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Source :

IEEE TRANSACTIONS ON FUZZY SYSTEMS

ISSN: 1063-6706

Year: 2018

Issue: 3

Volume: 26

Page: 1231-1244

1 1 . 9 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:156

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 42

SCOPUS Cited Count: 49

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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