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1 results

  • Fuzzy Partition Models for Fitting a Set of Partitions

  • A. D. Gordon, M. Vichi
  • Journal:
    Psychometrika / Volume 66 / Issue 2 / June 2001
    Published online by Cambridge University Press:
    01 January 2025, pp. 229-247

  • 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 Sato and Sato; a discussion is given of some interesting differences in the results.