Geodesic
Standard and nonstandard representability of positive uncertainty orderings
Kybernetika, Tome 50 (2014) no. 2, pp. 189-215 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2014-2-0189
Classification : 06A06, 60A05, 60E15, 62C10, 91B08
Keywords: comparative probability; comparative plausibilities; hyperreal field; representability by nonstandard measures 
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Capotorti, Andrea; Coletti, Giulianella; Vantaggi, Barbara. Standard and nonstandard representability of positive uncertainty orderings. Kybernetika, Tome 50 (2014) no. 2, pp. 189-215. doi: 10.14736/kyb-2014-2-0189

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