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Inequalities Between Similarities for Numerical Data

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  • Matthijs J. Warrens

    (University of Groningen)

Abstract

Similarity measures are entities that can be used to quantify the similarity between two vectors with real numbers. We present inequalities between seven well known similarities. The inequalities are valid if the vectors contain non-negative real numbers.

Suggested Citation

  • Matthijs J. Warrens, 2016. "Inequalities Between Similarities for Numerical Data," Journal of Classification, Springer;The Classification Society, vol. 33(1), pages 141-148, April.
    • Handle: RePEc:spr:jclass:v:33:y:2016:i:1:d:10.1007_s00357-016-9200-z
    DOI: 10.1007/s00357-016-9200-z
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    References listed on IDEAS

    as
    1. Matthijs Warrens, 2009. "k-Adic Similarity Coefficients for Binary (Presence/Absence) Data," Journal of Classification, Springer;The Classification Society, vol. 26(2), pages 227-245, August.
    2. J. Gower & P. Legendre, 1986. "Metric and Euclidean properties of dissimilarity coefficients," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 5-48, March.
    3. Ahmed N. Albatineh & Magdalena Niewiadomska-Bugaj & Daniel Mihalko, 2006. "On Similarity Indices and Correction for Chance Agreement," Journal of Classification, Springer;The Classification Society, vol. 23(2), pages 301-313, September.
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    Cited by:

    1. Barbara E. Marschallek & Thomas Jacobsen, 2022. "Smooth and Hard or Beautiful and Elegant? Experts’ Conceptual Structure of the Aesthetics of Materials," SAGE Open, , vol. 12(2), pages 21582440221, May.
    2. Zdeněk Šulc & Hana Řezanková, 2019. "Comparison of Similarity Measures for Categorical Data in Hierarchical Clustering," Journal of Classification, Springer;The Classification Society, vol. 36(1), pages 58-72, April.

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