On Mathematical structures on pairwise comparisons matrices with coefficients in a group arising from quantum gravity

August 25, 2016 Β· Declared Dead Β· πŸ› Heliyon

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Authors Jean-Pierre Magnot arXiv ID 1608.07468 Category math.GR Cross-listed cs.IT, math.LO Citations 4 Venue Heliyon Last Checked 3 months ago
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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