[en] Kolmogoroff and Nagumo proved that the quasi-arithmetic means correspond exactly to the decomposable sequences of continuous, symmetric, strictly increasing in each variable and reflexive functions. We replace decomposability and symmetry in this characterization by a generalization of the decomposability.
Disciplines :
Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2010-367
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
Langue du document :
Anglais
Titre :
On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
