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On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity (1608.07468v3)
Published 25 Aug 2016 in math.GR, cs.IT, math.IT, and math.LO
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.