A mathematical bridge between discretized gauge theories in quantum physics and approximate reasonning in pairwise comparisons

Jean-Pierre Magnot (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This corre-spondance leads to open questions in both field.

Mots clés: Pairwise comparisons; discretized gauge theories

Domaines: Géométrie différentielle [math.DG]

Jean-Pierre Magnot. A mathematical bridge between discretized gauge theories in quantum physics and approximate reasonning in pairwise comparisons. 2017. ⟨hal-01626435⟩