Standard and nonstandard representability of positive uncertainty orderings
Andrea Capotorti, Giulianella Coletti, Barbara Vantaggi · Kybernetika · 2014
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.