Reference : An extension of the concept of distance as functions of several variables

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/25408

Title :	An extension of the concept of distance as functions of several variables
Language :	English
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 >]
Publication date :	Feb-2016
Main document title :	36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Editor :	De Baets, Bernard
	Mesiar, Radko
	Saminger-Platz, Susanne
	Klement, Erich Peter
Pages :	53-56
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Event date :	from February 2 to February 6, 2016
Event place (city) :	Linz
Event country :	Austria
Abstract :	[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.
Funders :	University of Luxembourg - UL
Name of the research project :	R-AGR-0500 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/25408
Other URL :	http://www.flll.jku.at/div/research/linz2016/index.html

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access Kiss-Marichal-TeheuxV04.pdf Author postprint 53.71 kB View/Open Limited access Volume-of-abstracts_final.pdf Publisher postprint 1.05 MB Request a copy Additional material(s): File Commentary Size Access Open access Slides-N_distance.pdf Slides 304.48 kB View/Open

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