Kybernetika 50 no. 2, 189-215, 2014

Standard and nonstandard representability of positive uncertainty orderings

Andrea Capotorti, Giulianella Coletti and Barbara VantaggiDOI: 10.14736/kyb-2014-2-0189


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.


comparative probability, comparative plausibilities, hyperreal field, representability by nonstandard measures


60A05, 62C10, 91B08


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