Construire le tribunal avant l'opérateur

Philibert Andriamanantena ()
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Philibert Andriamanantena: École Doctorale Modélisation Informatique - Université de Fianarantsoa , Laboratoire de Mathématique et Application de l’Université de Fianarantsoa

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Abstract: This article develops the mathematical foundations necessary for examining an adaptive construction before that construction is itself selected. The problem considered is that of an aggregation intended to relate several operationally non-coincident regimes without reducing this relationship to a fixed choice, an external selection, or an arbitrary interpolation. The usual order of construction: instead of first defining a candidate and then identifying the properties it satisfies, we successively construct the operational support, the regimes, the observable non-coincidence, the intermediateness, the space of positions, the signatures, the degeneracies, the admissible transformations, and the absorption. This sequence ultimately allows us to define an abstract class of candidates subject to six admissibility conditions: well-definedness, realizability, distinguishability, positional non-triviality, resistance to absorption, and transformational compatibility. marginal admissibility and joint admissibility, formal difference and observable difference, position and signature, indiscernability and explained invariance, survival and resistance. The construction of an information-theoretic preorder on the space of positions and the explicit localization of degeneracies provide a structure for diagnosing the limits of the observation tribunal. Absorption is then introduced as a stronger test than invariance: a difference can be considered operationally autonomous only if it retains a residue after the declared absorptions. a preliminary trial period. The future operator will have to enter this space, which has already been built, and meet conditions that will not be adjusted retroactively in its favor.

Keywords: agrégation non additive; absorption; transformations; dégénérescence; identifiabilité; signature; espace de positions; intermédiarité; non-coïncidence; régimes; fondations opératoires; systèmes adaptatifs; systèmes adaptatifs agrégation non additive fondations opératoires régimes non-coïncidence intermédiarité espace de positions signature identifiabilité dégénérescence transformations absorption (search for similar items in EconPapers)
Date: 2026-11-02
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