Revistes Catalanes amb Accés Obert (RACO)

Averaging Premises

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


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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