Abstract : Implicative data analysis is a specific method of data analysis, employing asymmetrical similarities and based on the construction of an ascendant binary hierarchical classification. This construction leads to a binary oriented tree. Our contribution is devoted to the analysis of the formal aspects of two versions of the binary tree obtained by an ascendant hierarchical classification: symmetrical and assymmetrical. New axiomatization is proposed for both of them. More precisely, the passage between the formal definitions of a binary symmetrical tree and a binary oriented one, is studied accurately.
O. Hudry and I. Charon and G. Hébrail. XIV Rencontres de la Société Francophone de Classification, Sep 2007, Paris, France. École Nationale des Télécommunications de Paris, pp.139-142, 2007
https://hal.inria.fr/inria-00180133
Contributeur : Israel-César Lerman
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Soumis le : mercredi 17 octobre 2007 - 17:33:27
Dernière modification le : vendredi 16 novembre 2018 - 01:24:28
Israël-César Lerman. Sur les différentes expressions formelles d'une hiérarchie binaire symétrique ou implicative. O. Hudry and I. Charon and G. Hébrail. XIV Rencontres de la Société Francophone de Classification, Sep 2007, Paris, France. École Nationale des Télécommunications de Paris, pp.139-142, 2007. 〈inria-00180133〉
