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In this paper, we introduce some definitions of uncertainty orders for random vectors in a sublinear expectation space. We all know that, under some continuity conditions, each sublinear expectation 𝔼 has a robust representation as the supremum of a family of probability measures. We describe uncertainty orders from two different viewpoints. One is from sublinear operator viewpoint. After giving definitions such as monotonic orders, convex orders and increasing convex orders, we use these uncertainty...
We show that a set of reals is undetermined in Galvin's point-open game iff it is uncountable and has property C", which answers a question of Gruenhage.
Cet article fait suite à l'article paru dans le volume 113 de cette revue (D. Guin [15]) où nous avons mis en évidence certains processus cognitifs élémentaires dans l'activité de compréhension d'énoncés additifs, puis proposé une modélisation de la compréhension permettant de prendre en compte ces processus. Dans celle modélisation basée sur la notion d'opérateur, nous avons distingué deux étapes : la compréhension linguistique de l'énoncé et la réduction à un prototype. Nous utiliserons des formalismes...
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