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Advances in Mathematical Physics
Volume 2018, Article ID 7496762, 5 pages
Review Article

A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

1LAREMA, UMR CNRS 6093, Université d’Angers, 2 bd Lavoisier, 49045 Angers Cedex 1, France
2Lycée Jeanne d’Arc, 40 avenue de Grande Bretagne, 63000 Clermont-Ferrand, France

Correspondence should be addressed to Jean-Pierre Magnot; moc.liamg@tongam.pj

Received 2 October 2017; Revised 16 December 2017; Accepted 26 December 2017; Published 23 January 2018

Academic Editor: Andrei D. Mironov

Copyright © 2018 Jean-Pierre Magnot. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 correspondence leads to open questions in both fields.