Fuzzy partition models for fitting a set of partitions

A D Gordon, M Vichi

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


Methodology is described for fitting a fuzzy consensus partition to a set of partitions of the same set of objects. Three models defining median partitions are described: two of them are obtained from a least-squares fit of a set of membership functions. and the third (proposed by Pittau and Vichi) is acquired from a least-squares fit of a set of joint membership functions. The models are illustrated by application to both a set of hard partitions and a set of fuzzy partitions and comparisons are made between them and an alternative approach to obtaining a consensus fuzzy partition proposed by Sate and Sate; a discussion is given of some interesting differences in the results.

Original languageEnglish
Pages (from-to)229-247
Number of pages19
Publication statusPublished - Jun 2001


  • classification
  • cluster analysis
  • consensus fuzzy partition
  • membership function
  • three-way data


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