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Sur les différentes expressions formelles d'une hiérarchie binaire symétrique ou implicative

Israël-César Lerman 1
1 SYMBIOSE - Biological systems and models, bioinformatics and sequences
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
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.
Mots-clés : Classification Ascendante Hiérarchique Arbre binaire implicatif
Complete list of metadatas
https://hal.inria.fr/inria-00180133
Contributor : Israel-César Lerman <>
Submitted on : Wednesday, October 17, 2007 - 5:33:27 PM
Last modification on : Friday, November 16, 2018 - 1:24:28 AM

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  • HAL Id : inria-00180133, version 1

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INRIA | IRISA | CNRS | UNIV-RENNES1 | INSMI | IRISA-D7 | UR1-UFR-ISTIC | UNIV-RENNES | INSA-GROUPE

Citation

Israël-César Lerman. Sur les différentes expressions formelles d'une hiérarchie binaire symétrique ou implicative. XIV Rencontres de la Société Francophone de Classification, École Nationale des Télécommunications de Paris, Sep 2007, Paris, France. pp.139-142. ⟨inria-00180133⟩

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