The mathematics behind the property of associativity

Marichal, Jean-Luc; Teheux, Bruno

Reference : The mathematics behind the property of associativity


	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/10993/24357

Title :	The mathematics behind the property of associativity
Language :	English
Author, co-author :	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 :	62-65
Peer reviewed :	Yes
On invitation :	Yes
Audience :	International
City :	Linz
Country :	Austria
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
Keywords :	[en] associativity ; preassociativity ; B-associativity ; means
Abstract :	[en] The well-known equation of associativity for binary operations may be naturally generalized to variadic operations. In this talk, we illustrate different approaches that can be considered to study this extension of associativity, as well as some of its generalizations and variants, including barycentric associativity and preassociativity.
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/10993/24357
Other URL :	http://www.flll.jku.at/div/research/linz2016/index.html