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

Jean-Pierre Magnot ()
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Jean-Pierre Magnot: LAREMA - Laboratoire Angevin de Recherche en Mathématiques - UA - Université d'Angers - CNRS - Centre National de la Recherche Scientifique

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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.

Keywords: approximate reasoning; inconsistency; pairwise comparisons; group; holonomy; matrix; simplex; graph (search for similar items in EconPapers)
Date: 2019-06-17
Note: View the original document on HAL open archive server: https://hal.science/hal-01835958v1
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Citations: View citations in EconPapers (2)

Published in Heliyon, 2019, 5, https://www.heliyon.com/article/e01821/. ⟨10.1016/j.heliyon.2019.e01821⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01835958

DOI: 10.1016/j.heliyon.2019.e01821

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