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.
Domains
Differential Geometry [math.DG] General Mathematics [math.GM] Library and information sciences Business administration Mathematical Physics [math-ph] Spectral Theory [math.SP] Analysis of PDEs [math.AP] Metric Geometry [math.MG] Chaotic Dynamics [nlin.CD] Mathematical Physics [math-ph] Quantum Physics [quant-ph]
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