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A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

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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)

Abstract

We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This correspondence leads to open questions in both fields.

Suggested Citation

  • Jean-Pierre Magnot, 2018. "A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons," Post-Print hal-01831631, HAL.
    • Handle: RePEc:hal:journl:hal-01831631
    DOI: 10.1155/2018/7496762
    Note: View the original document on HAL open archive server: https://hal.science/hal-01831631
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    Cited by:

    1. Jean-Pierre Magnot & Jiří Mazurek & Viera Cernanova, 2021. "A gradient method for inconsistency reduction of pairwise comparisons matrices," Working Papers hal-03313878, HAL.
    2. Jean-Pierre Magnot, 2020. "Inconsistency in pairwise comparisons as an Abelian Yang-Mills theory," Working Papers hal-03091527, HAL.
    3. Jean-Pierre Magnot, 2019. "On Mathematical Structures On Pairwise Comparisons Matrices With Coefficients In A Group Arising From Quantum Gravity," Post-Print hal-01835958, HAL.
    4. Jean Pierre Magnot, 2018. "On Multidisciplinary Potential Applications of Gauge Theories," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(1), pages 1-2, May.
    5. Jean-Pierre Magnot, 2018. "On Mathematical Structures On Pairwise Comparisons Matrices With Coefficients In A Group Arising From Quantum Gravity," Working Papers hal-01835958, HAL.

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