Using topos theory, an algebraic approach to uncertainty is presented. It is shown how different aspects of uncertainty (imprecise probabilities, probabilities and possibilities) can be described as special cases of a categorical definition of uncertainty. It is proved that also the computational machinery of the different theories has an algebraic description.

(sbagliato: è un rapporto interno!!!) An algebraic approach to uncertainty

Sossai Claudio;Chemello Gaetano
2010

Abstract

Using topos theory, an algebraic approach to uncertainty is presented. It is shown how different aspects of uncertainty (imprecise probabilities, probabilities and possibilities) can be described as special cases of a categorical definition of uncertainty. It is proved that also the computational machinery of the different theories has an algebraic description.
2010
INGEGNERIA BIOMEDICA
possibility theory
probability theory
imprecise probability theory
category theory
reasoning under uncertainty
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/190540
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