ON MATHEMATICAL STRUCTURES ON PAIRWISE COMPARISONS MATRICES WITH COEFFICIENTS IN A GROUP ARISING FROM QUANTUM GRAVITY - Archive ouverte HAL Access content directly
Journal Articles Heliyon Year : 2019

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.
Fichier principal
Vignette du fichier
KM2016-algebra.pdf (419.99 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01835958 , version 1 (11-07-2018)

Identifiers

Cite

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

Altmetric

Share

Gmail Facebook X LinkedIn More