Paper published in a book (Scientific congresses, symposiums and conference proceedings)
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 :
Mathematics Computer science
Author, co-author :
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
External co-authors :
no
Language :
English
Title :
An extension of the concept of distance as functions of several variables
Publication date :
February 2016
Event name :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Event place :
Linz, Austria
Event date :
from February 2 to February 6, 2016
Audience :
International
Main work title :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
