The paper studies the connection between comparative probability and comparative plausibility, with a particular emphasis on comparative possibility. We consider a comparative probability on an algebra and extend it to a different algebra. We prove that, in general, the upper extension of the given comparative probability is a comparative plausibility. By considering a suitable condition of weak logical independence between the two partitions related to the atoms of the two algebras, we prove that the upper ordinal relation is a comparative possibility. These results hold for comparative probability not necessarily representable by a numerical probability. © 2011 Springer-Verlag Berlin Heidelberg.
A bridge between probability and possibility in a comparative framework / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - STAMPA. - 6717 LNAI(2011), pp. 557-568. ((Intervento presentato al convegno 11th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2011 tenutosi a Belfast nel 29 June 2011 through 1 July 2011. - LECTURE NOTES IN COMPUTER SCIENCE. [10.1007/978-3-642-22152-1_47].