Comparing resemblance measures |
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Authors: | Vladimir Batagelj Matevz Bren |
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Affiliation: | (1) Present address: Department of Mathematics, University of Ljubljana, Jadranska 19, 61 111 Ljubljana, Slovenia;(2) Present address: FOV Kranj, University of Maribor, Preernova 11, 64 000 Kranj, Slovenia |
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Abstract: | In the paper some types of equivalences over resemblance measures and some basic results about them are given. Based on induced partial orderings on the set of unordered pairs of units a dissimilarity between two resemblance measures over finite sets of units can be defined. As an example, using this dissimilarity standard association coefficients between binary vectors are compared both theoretically and computationally.Extended version of the paper presented at DISTANCIA'92, June 22–26, 1992, Rennes, France. This work was supported in part by the Ministry for Science and Technology of Slovenia, J2-6191-101-94. We would like to thank the editor and two anonymous referees for numerous remarks and suggestions that significantly improved the presentation of the material. |
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Keywords: | Dissimilarity spaces Metric spaces Association coefficients Profile measures of resemblance |
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