Agglomerative Hierarchical Clustering Using the Tθ Family of Similarity Measures
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Agglomerative Hierarchical Clustering Using the Tθ Family of Similarity Measures

Authors: Salima Kouici, Abdelkader Khelladi

Abstract:

In this work, we begin with the presentation of the Tθ family of usual similarity measures concerning multidimensional binary data. Subsequently, some properties of these measures are proposed. Finally the impact of the use of different inter-elements measures on the results of the Agglomerative Hierarchical Clustering Methods is studied.

Keywords: Binary data, similarity measure, Tθ measures, Agglomerative Hierarchical Clustering.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100230

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References:


[1] V. Bategelj and M. Bern, Comparing resemblance measures, Journal of classification Vol.1 , pp.73-90, 1995.
[2] J. C. Gower and P. Legendre, A general coefficient of similarity and some of its properties, Biometrics 27, pp. 857-871,1986.
[3] N. Jardine and R. Sibson, Mathematical Taxonomy, Wiley Ed., London, 1971.
[4] S. Kouici and A. Khelladi, Structurel similarity measure for binary data clustering, Far east journal of applied mathematics Vol. 30 N2, pp.189-202, 2008.
[5] M-J Lesot, M. Rifqi and H. Benhadda, Similarity measures for binary and numerical data: a survey, International journal: Knowledge Engineering and Soft Data Parardigms Vol.1 N1, pp.63-84, 2009.
[6] J.P. Nakache and J. Confais, Approche pragmatique de la classification, Editions TECHNIP, Paris, 2005.
[7] J-F. Omhover, M. Rifqi and M. Detyniecki, Ranking Invariance Based on Similarity Measures in Document Retrieval, Lecture Notes in Computer Science, 2006, Volume 3877, Adaptive Multimedia Retrieval: User, Context, and Feedback, pp. 55-64
[8] R.R Sokal and C.D. Michener, A Statistical Method for evaluating systematics relationships, Univ. Kansas Sci. Bull.,38,pp.1409-1438, 1958.
[9] T. Sorensen, A Method of Establishing Groups of Equal Amplitude in Plant Sociology Based on Similarities of species Content and its Application to Analyses of the Vegetation on Danish Commons, Biologiske Skrifter,5, pp 1-34, 1948.
[10] A. Tversky, Features of similarity, Psychological Review Vol.84, pp.327-352, 1977.
[11] J.H. Ward, Hierarchical Grouping to Optimize an Objectif Function, J. Am. Statisti. Assoc.,58,pp 236-244, 1963.