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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of classification 11 (1994), S. 37-58 
    ISSN: 1432-1343
    Keywords: Dissimilarity ; Partial dissimularity ; Distance ; Distance transformation ; Clustering ; Missing data
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Description / Table of Contents: Résumé On s'intéresse aux dissimilarités qui ne sont définies que sur certaines paires d'éléments. Cette situation se rencontre dans certains types de problèmes tel que les déploiments ou les mélanges. Elle peut également intervenir comme une étape intermédiaire d'une transformation plus générale. On donne des conditions nécessaires et suffisantes pour qu'il existe des extensions ayant de bonnes propriétés et on caractérise la famille obtenue. Par l'intermédiaire des dissimilarités partielles on construit une famille de transformation d'une dissimilarité en une distance.
    Notes: Abstract We consider dissimilarities which are defined only on some pairs of items. Such situations may occur in some problems like unfolding or merging, or can be encountered as an intermediate step of a more general transformation. We give necessary and sufficient conditions for the existence of extensions with good properties and characterize the family of such extensions. Using partial dissimilarities we construct a dissimilarity-into-distance transformation family.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of classification 5 (1988), S. 283-304 
    ISSN: 1432-1343
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-1343
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of classification 7 (1990), S. 197-216 
    ISSN: 1432-1343
    Keywords: Hierarchical clustering ; Supertrees ; Consensus trees ; Subdomain classification
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Description / Table of Contents: Resume Etant données au moins deux matrices de distances ultramétriques définies sur des sous-ensembles disjoints ou non, on les fusionne pour obtenir une ultramétrique définie sur l'ensemble tout entier. On donne des conditions nécessaires et suffisantes pour que l'extension soit unique. Quand ces conditions ne sont pas satisfaites on donne des algorithmes dont on montre qu'ils sont consistants.
    Notes: Abstract We consider two or more ultrametric distance matrices defined over different, possibly overlapping, subsets. These matrices are merged into one ultrametric matrix defined over the whole set. Necessary and sufficient conditions for uniqueness of the merging are established. when these conditions are not satisfied, consistent algorithms are given.
    Type of Medium: Electronic Resource
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