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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-01714270
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Submitted on : Wednesday, February 21, 2018 - 1:37:28 PM
Last modification on : Monday, March 9, 2020 - 6:15:55 PM

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Jean-Pierre Magnot. A mathematical bridge between discretized gauge theories in quantum physics and approximate reasoning in pairwise comparisons. Adv.Math.Phys., 2018, 2018, pp.7496762. ⟨10.1155/2018/7496762⟩. ⟨hal-01714270⟩

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