Results 1 to 10 of about 598 (92)

Coherent lower and upper conditional previsions defined by Hausdorff inner and outer measures to represent the role of conscious and unconscious thought in human decision making [PDF]

Annals of Mathematics and Artificial Intelligence, 2021
AbstractThe model of coherent lower and upper conditional previsions, based on Hausdorff inner and outer measures, is proposed to represent the preference orderings and the equivalences, respectively assigned by the conscious and unconscious thought in human decision making under uncertainty.
Serena Doria, Doria Serena
exaly   +4 more sources

Coherent conditional previsions with respect to inner and outer Hausdorff measures to represent conscious and unconscious human brain activity

International Journal of Approximate Reasoning, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Doria
exaly   +3 more sources

Hausdorff Outer Measures and the Representation of Coherent Upper Conditional Previsions by the Countably Additive Möbius Transform

Fractal and Fractional
This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
doaj   +3 more sources

Probabilistic independence with respect to upper and lower conditional probabilities assigned by Hausdorff outer and inner measures

International Journal of Approximate Reasoning, 2007
The aim of the present paper is to study the probabilistic independence with respect to upper and lower conditional probabilities assigned by Hausdorff outer and inner measures especially in the case that the conditioning events have positive and finite Hausdorff outer and inner measures in their dimension. Furthermore, in order to assure that, logical
Serena Doria
exaly   +3 more sources

Coherent conditional measures of risk defined by the Choquet integral with respect to Hausdorff outer measure and stochastic independence in risk management

International Journal of Approximate Reasoning, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Doria
exaly   +5 more sources

Merging of coherent upper conditional probabilities defined by Hausdorff outer measures

Chaos, Solitons and Fractals
Coherent upper conditional probabilities defined by Hausdorff measures on metric spaces are proven to represent merging opinions with increasing information when the metrics are bi-Lipschitz equivalent .
Serena Doria
exaly   +3 more sources

Coherent Upper Conditional Previsions Defined through Conditional Aggregation Operators

Mathematics, 2022
Conditional aggregation operators are introduced, and coherent upper conditional previsions are constructed by sub-additive, positively homogenous, and shift-invariant conditional aggregation operators. Composed operators defined by positively homogenous
Serena Doria
doaj   +1 more source

Strongly nonlinear potential theory on metric spaces

Abstract and Applied Analysis, 2002
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
doaj   +1 more source

How to extend Carath\'eodory's theorem to lattice-valued functionals

Results in Nonlinear Analysis, 2020
Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure.
Nutefe Kwami Agbeko
doaj  

Sets Whose Hausdorff Measure Equals Method I Outer Measure

Real Analysis Exchange, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources