[HTML][HTML] Conditional aggregation operators defined by the Choquet integral and the Sugeno integral with respect to general fractal measures

S Doria, B Selmi - Fuzzy Sets and Systems, 2024 - Elsevier
Conditional aggregation operators are defined by the Choquet integral and the Sugeno
integral with respect to a monotone set function that assesses positive measure of the …

Coherent upper conditional expectations defined by fractal measures and the probabilistic representation of quantum states

S Doria, B Selmi - Fluctuation and Noise Letters, 2024 - ui.adsabs.harvard.edu
Coherent upper conditional expectations are introduced through fractal outer measures to
consider conditioning events that have zero probability with respect to the initial probability …

Coherent Upper Conditional Previsions Defined by Fractal Outer Measures to Represent the Unconscious Activity of Human Brain

S Doria, B Selmi - International Conference on Modeling Decisions for …, 2023 - Springer
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 …

Defining Coherent Upper Conditional Previsions in a General Metric Space Using Distinct Dimensional Fractal Outer Measures

S Doria, B Selmi - Mathematical Modelling of Complex Patterns Through …, 2024 - Springer
This article presents a novel approach to constructing models of CUCP for both bounded
and unbounded random variables in a metric space. The models are built upon the concept …

Generalized Fractal Dimensions and Gauges for Self-Similar Sets and Their Application in the Assessment of Coherent Conditional Previsions and in the Calculation …

S Doria, B Selmi, R Achour, Z Li - Available at SSRN 5073741 - papers.ssrn.com
In this paper, we compute the generalized Hausdorff and packing dimensions of self-similar
sets that meet the open set condition. We thoroughly characterize the class of Hausdorff …

[引用][C] Special journal issue on Uncertainty, Heterogeneity, Reliability and Explainability in AI

S Benferhat, K Tabia - 2023 - dl.acm.org
Special journal issue on Uncertainty, Heterogeneity, Reliability and Explainability in AI |
International Journal of Approximate Reasoning skip to main content ACM Digital Library home …