Averaging Premises

Name: Averaging Premises
Keywords: Averaging functions, Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic, Complemented lattices, orthocomplemented lattices and posets, Teoria de, averaging functions, restricted consequences, Conjunts, Conjectures, Conjunts, Teoria de, :03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS]

Trillas i Gay, Enric; Castiñeira Holgado, Elena Esther; Cubillo Villanueva, Susana

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Recolector de Ciencia Abierta, RECOLECTA

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Article . 2001

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Averaging Premises

Averaging premises

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Trillas i Gay, Enric; Castiñeira Holgado, Elena Esther; Cubillo Villanueva, Susana;

handle: 2099/3598

Averaging Premises

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Abstract

This paper deals with the sets of strict conjectures and consequences of a given collection $P$ of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret "restricted consequences'' as averages of premises. The subset of consequences $C^\ast_g(P)$ and the subset of conjectures $\Phi^\ast_g(P)$ defined by means of the averaging function $g$ are introduced, and their properties are studied. This sets allow to give decomposition theorems for the restricted consequences and for the strict conjectures.

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Spain

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Keywords

Averaging functions, Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic, Complemented lattices, orthocomplemented lattices and posets, Teoria de, averaging functions, restricted consequences, Conjunts, Conjectures, Conjunts, Teoria de, :03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS], Consequences, orthocomplemented lattice, strict conjectures

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