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.
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Titolo: | A Bridge between Probability and Possibility in a Comparative Framework. |
Autori: | |
Data di pubblicazione: | 2011 |
Serie: | |
Abstract: | The paper studies the connection between comparative probability and comparative plausibility, wi...th 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. |
Handle: | http://hdl.handle.net/11391/519897 |
ISBN: | 978-364222151-4 |
Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |