Recent advances in decision making have incorporated both risk and ambiguity in decision
theory and optimization methods. These methods implement a variety of uncertainty …

Coherent upper and lower conditional probabilities defined by Hausdorff outer and inner
measures are proposed to represent respectively the unconscious and conscious activities …

In a metric space (Ω, d), coherent upper conditional previsions are defined by Hausdorff
outer measures on the linear space of all absolutely Choquet integrable random variables …

In this paper, it is proven that the natural extensions of a submodular coherent upper
conditional probability, defined a class S properly contained in the power set of Ω, coincide …

In the first part of this paper, we have considered: a) generalized credal sets on the powerset
of a finite set X; b) their general definition allowing a generalized credal set to be not convex; …

Merging of coherent upper conditional probabilities defined by Hausdorff outer measures -
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Preference orderings assigned by coherent lower and upper conditional previsions are
defined and they are considered to define maximal random variables and Bayes random …

A mathematical model of coherent upper conditional previsions defined by fractal outer
measures is proposed to represent the unconscious activity of human brain in AI. By …

Conditional aggregation operators are introduced, and coherent upper conditional
previsions are constructed by sub-additive, positively homogenous, and shift-invariant …

The model of coherent lower and upper conditional previsions, based on Hausdorff inner
and outer measures, is proposed to represent the preference orderings and the …