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The mathematics behind the property of associativity
Marichal, Jean-Luc; Teheux, Bruno
2016In De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanne et al. (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Peer reviewed
 

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Keywords :
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.
Disciplines :
Mathematics
Computer science
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
External co-authors :
no
Language :
English
Title :
The mathematics behind the property of associativity
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
By request :
Yes
Audience :
International
Main work 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 :
Peer reviewed
Name of the research project :
R-AGR-0500 - IRP15 - MRO3 (20150301-20181231) - MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 08 February 2016

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