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

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.
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https://hal.archives-ouvertes.fr/hal-01831631
Contributor : jean-pierre magnot Connect in order to contact the contributor
Submitted on : Friday, July 6, 2018 - 9:50:34 AM
Last modification on : Wednesday, November 3, 2021 - 6:05:00 AM
Long-term archiving on: : Tuesday, October 2, 2018 - 2:18:56 AM

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Jean-Pierre Magnot. A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons. Advances in Mathematical Physics, Hindawi Publishing Corporation, 2018, 2018, pp.1 - 5. ⟨10.1155/2018/7496762⟩. ⟨hal-01831631⟩

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