Communication publiée dans un ouvrage (Colloques, congrès, conférences scientifiques et actes)
An extension of the concept of distance as functions of several variables
KISS, Gergely; MARICHAL, Jean-Luc; TEHEUX, Bruno
2016 • In De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanneet al. (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
[en] Extensions of the concept of distance to more than two elements have been recently proposed in the literature to measure to which extent the elements of a set are spread out. Such extensions may be particularly useful to define dispersion measures for instance in statistics or data analysis. In this note we provide and discuss an extension of the concept of distance, called n-distance, as functions of n variables. The key feature of this extension is a natural generalization of the triangle inequality. We also provide some examples of n-distances that involve geometric and graph theoretic constructions.
Disciplines :
Mathématiques Sciences informatiques
Auteur, co-auteur :
KISS, Gergely ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
TEHEUX, Bruno ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
An extension of the concept of distance as functions of several variables
Date de publication/diffusion :
février 2016
Nom de la manifestation :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Lieu de la manifestation :
Linz, Autriche
Date de la manifestation :
from February 2 to February 6, 2016
Manifestation à portée :
International
Titre de l'ouvrage principal :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
