On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity

2016/08/31 by Jean-Pierre Magnot · 1 citation
Mathematics · Computer Science · #math.GR #cs.IT #math.IT #math.LO #msc:03F25

paper · pdf · doi:10.1016/j.heliyon.2019.e01821

published as Heliyon 5 (2019) e01821

arxiv created 2018/07/20 · arxiv updated 2019/06/19

Abstract

We describe the mathematical properties of pairwise comparisons matrices with coefficients in an arbitrary group. We provide a vocabulary adapted for the description of main algebraic properties of inconsistency maps, describe an example where the use of a non abelian group is necessary. Algebraic, topological, geometric and probabilistic aspects are considered.

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