Journal of Classification

, Volume 33, Issue 1, pp 141–148 | Cite as

Inequalities Between Similarities for Numerical Data

  • Matthijs J. Warrens
Open Access


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.


Bray-Curtis similarity Ruzicka similarity Ellenberg similarity Gleason similarity 


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© The Author(s) 2016

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.University of GroningenGroningenThe Netherlands

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