Abstract
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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Coletti, G., Scozzafava, R., Vantaggi, B. (2011). A Bridge between Probability and Possibility in a Comparative Framework. In: Liu, W. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2011. Lecture Notes in Computer Science(), vol 6717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22152-1_47
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DOI: https://doi.org/10.1007/978-3-642-22152-1_47
Publisher Name: Springer, Berlin, Heidelberg
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