%0 Journal Article
%T Strongly barycentrically associative and preassociative functions
%A Jean-Luc Marichal
%A Bruno Teheux
%J Mathematics
%D 2014
%I arXiv
%X We study the property of strong barycentric associativity, a stronger version of barycentric associativity for functions with indefinite arities. We introduce and discuss the more general property of strong barycentric preassociativity, a generalization of strong barycentric associativity which does not involve any composition of functions. We also provide a generalization of Kolmogoroff-Nagumo's characterization of the quasi-arithmetic mean functions to strongly barycentrically preassociative functions.
%U http://arxiv.org/abs/1411.5897v1