Axiomatic characterization of the χ 2 dissimilarity measure

Denis Bouyssou (1) , Thierry Marchant (2) , Marc Pirlot (3)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 Department of Data Analysis
3 UMons - Université de Mons

We axiomatically characterize the χ 2 dissimilarity measure. To this end, we solve a new generalization of a functional equation discussed in Aczel (Lectures on functional equations and their applications, Academic Press, 1966).

Domaines: Economies et finances

Denis Bouyssou, Thierry Marchant, Marc Pirlot. Axiomatic characterization of the χ 2 dissimilarity measure. 2021. ⟨hal-03463741v1⟩