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Journal of Classification

, Volume 6, Issue 1, pp 233–246 | Cite as

A classification of presence/absence based dissimilarity coefficients

  • F. B. Baulieu
Authors Of Artides

Abstract

Several desirable order properties for dissimilarity coefficients based on presence/absence of attributes are given and several popular dissimilarity coefficients are examined with respect to these properties. A characterization for rational functions with linear numerator and linear denominator satisfying all of the desirable properties is given.

Keywords

Measures of association Profile similarities 

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References

  1. BAULIEU, F. B. (1985). “Order Theoretic Classification of Monotone Equivariant Cluster Methods,”Algebra Universalis, 20, 351–367.CrossRefGoogle Scholar
  2. GOWER, J. C., and LEGENDRE, P. (1986), “Metric and Euclidean Properties of Dissimilarity Coefficients,”Journal of Classification, 3, 5–48.CrossRefGoogle Scholar
  3. JANOWITZ, M. F. (1979), “Monotone Equivariant Cluster Analysis,”SIAM Journal on Applied Mathematics, 37, 148–165.CrossRefGoogle Scholar
  4. JANOWITZ, M. F. (1979), “Preservation of Global Order Equivalence,”Journal of Mathematical Psychology, 20, 78–88.CrossRefGoogle Scholar
  5. SIBSON, R. (1972), “Order Invariant Methods for Data Analysis,”Journal of the Royal Statistical Society, Series B, 34, 311–349.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • F. B. Baulieu
    • 1
  1. 1.Natural and Applied SciencesUniversity of WisconsinGreen BayUSA

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