Communication publiée dans un ouvrage (Colloques, congrès, conférences scientifiques et actes)
The mathematics behind the property of associativity
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
associativity; preassociativity; B-associativity; means
Résumé :
[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 :
Sciences informatiques Mathématiques
Auteur, co-auteur :
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
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
The mathematics behind the property of associativity
Date de publication/diffusion :
février 2016
Nom de la manifestation :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities
Lieu de la manifestation :
Linz, Autriche
Date de la manifestation :
from February 2 to February 6, 2016
Sur invitation :
Oui
Manifestation à portée :
International
Titre de l'ouvrage principal :
36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities