Reference : An extension of the concept of distance as functions of several variables
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/25408
An extension of the concept of distance as functions of several variables
English
Kiss, Gergely mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Feb-2016
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
De Baets, Bernard
Mesiar, Radko
Saminger-Platz, Susanne
Klement, Erich Peter
53-56
Yes
No
International
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
from February 2 to February 6, 2016
Linz
Austria
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/25408
http://www.flll.jku.at/div/research/linz2016/index.html

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