Results 121 to 130 of about 2,637,453 (146)

Disintegration property of coherent upper conditional previsions with respect to Hausdorff outer measures for unbounded random variables

International Journal of General Systems, 2021
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.
Serena Doria
exaly   +2 more sources

Coherent Upper Conditional Previsions with Respect to Outer Hausdorff Measures and the Mathematical Representation of the Selective Attention

Communications in Computer and Information Science, 2022
Coherent upper conditional probabilities defined by Hausdorff outer measure are proposed to represent the unconscious activities of the human brain when information are given. In the model uncertainty measures are defined according to the complexity of the conditioning event that represent the given information.
Serena Doria, Doria Serena
exaly   +3 more sources

Symmetric coherent upper conditional prevision defined by the Choquet integral with respect to Hausdorff outer measure

Annals of Operations Research, 2014
The author studies symmetric fuzzy measures on the power set of a set. She proves that the following are symmetric:{\parindent=6mm \begin{itemize} \item[(1)] coherent upper conditional probabilities defined by Hausdorff outer measures, \item [(2)] distorted coherent upper conditional probabilities defined by Hausdorff outer measures with concave ...
Serena Doria, Doria Serena
exaly   +5 more sources

Characterization of a coherent upper conditional prevision as the Choquet integral with respect to its associated Hausdorff outer measure

Annals of Operations Research, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Doria, Doria Serena
exaly   +3 more sources

Integral Representations of a Coherent Upper Conditional Prevision by the Symmetric Choquet Integral and the Asymmetric Choquet Integral with Respect to Hausdorff Outer Measures

Lecture Notes in Computer Science, 2018
Complex decisions in human decision-making may arise when the Emotional Intelligence and Rational Reasoning produce different preference ordering between alternatives. From a mathematical point of view, complex decisions can be defined as decisions where a preference ordering between random variables cannot be represented by a linear functional.
Serena Doria, Doria Serena
exaly   +3 more sources

Coherent Upper and Lower Conditional Previsions Defined by Hausdorff Outer and Inner Measures

2011
A new model of coherent upper conditional previsions is proposed to represent uncertainty and to make previsions in complex systems. It is defined by the Choquet integral with respect to Hausdorff outer measure if the conditioning event has positive and finite Hausdorff outer measure in its Hausdorff dimension.
Serena Doria, Doria Serena
exaly   +3 more sources

On the disintegration property of coherent upper conditional prevision defined by the Choquet integral with respect to its associated Hausdorff outer measure

Annals of Operations Research, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serena Doria, Doria Serena
exaly   +4 more sources

Coherent Upper Conditional Previsions and Their Integral Representation with Respect to Hausdorff Outer Measures

, 2010
In a metric space, a necessary and sufficient condition is given for a coherent upper conditional prevision to be uniquely represented by the Choquet integral with respect to the upper conditional probability defined by its Hausdorff outer measure.
DORIA, Serena
openaire   +4 more sources

Integral representation of coherent upper conditional prevision with respect to its associated Hausdorff outer measure: a comparison among the Choquet integral, the pan-integral and the concave integral

International Journal of General Systems, 2018
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 on the class of all bounded and upper S-measurable random variables. Moreover, it is proven that a coherent upper conditional prevision can be represented as the Choquet ...
Radko Mesiar, Serena Doria, Bapi Dutta   +2 more
exaly   +4 more sources

Representation of Indifference and Preference Ordering Between Random Variables by Coherent Upper and Lower Conditional Previsions Defined by Hausdorff Outer and Inner Measures.

, 2020
Coherent lower and upper conditional previsions defined by Hausdorff inner and outer measures are proposed to represent respectively a partial strict order and a complete indifference relations between random variables. The two binary relations can describe the activity of the conscious human thought ruled by the antisymmetric property and the ...
Serena Doria
openaire   +3 more sources