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ON MATHEMATICAL STRUCTURES ON PAIRWISE COMPARISONS MATRICES WITH COEFFICIENTS IN A GROUP ARISING FROM QUANTUM GRAVITY

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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https://hal.archives-ouvertes.fr/hal-01835958
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Submitted on : Wednesday, July 11, 2018 - 6:29:00 PM
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Long-term archiving on: : Saturday, October 13, 2018 - 12:03:51 PM

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Jean-Pierre Magnot. ON MATHEMATICAL STRUCTURES ON PAIRWISE COMPARISONS MATRICES WITH COEFFICIENTS IN A GROUP ARISING FROM QUANTUM GRAVITY. Heliyon, Elsevier 2019, 5, https://www.heliyon.com/article/e01821/. ⟨10.1016/j.heliyon.2019.e01821⟩. ⟨hal-01835958⟩

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