Axioms are given for positive comparative probabilities and plausibilities defined either on Boolean algebras or on arbitrary sets of events. These axioms allow to characterize binary relations representable by either standard or nonstandard measures (i. e. taking values either on the real field or on a hyperreal field). We also study relations between conditional events induced by preferences on conditional acts.

Standard and nonstandard representability of positive uncertainty orderings / Andrea, Capotorti; Giulianella, Coletti; Vantaggi, Barbara. - In: KYBERNETIKA. - ISSN 0023-5954. - STAMPA. - 50:2(2014), pp. 189-215. [10.14736/kyb-2014-2-0189]

Standard and nonstandard representability of positive uncertainty orderings

VANTAGGI, Barbara
2014

Abstract

Axioms are given for positive comparative probabilities and plausibilities defined either on Boolean algebras or on arbitrary sets of events. These axioms allow to characterize binary relations representable by either standard or nonstandard measures (i. e. taking values either on the real field or on a hyperreal field). We also study relations between conditional events induced by preferences on conditional acts.
2014
comparative probability; hyperreal field; comparative plausibilities; representability by nonstandard measures
01 Pubblicazione su rivista::01a Articolo in rivista
Standard and nonstandard representability of positive uncertainty orderings / Andrea, Capotorti; Giulianella, Coletti; Vantaggi, Barbara. - In: KYBERNETIKA. - ISSN 0023-5954. - STAMPA. - 50:2(2014), pp. 189-215. [10.14736/kyb-2014-2-0189]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/558132
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