On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity
Group Theory
2019-06-19 v3 Information Theory
math.IT
Logic
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.
Cite
@article{arxiv.1608.07468,
title = {On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity},
author = {Jean-Pierre Magnot},
journal= {arXiv preprint arXiv:1608.07468},
year = {2019}
}