Title
A bridge between probability and possibility in a comparative framework
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.
Year
DOI
Venue
2011
10.1007/978-3-642-22152-1_47
ECSQARU
Keywords
Field
DocType
different algebra,comparative probability,upper ordinal relation,comparative plausibility,suitable condition,numerical probability,upper extension,comparative possibility,paper study,comparative framework,particular emphasis
Discrete mathematics,Ordinal number,Probability measure,Imprecise probability,Regular conditional probability,Probability interpretations,Mathematics
Conference
Citations 
PageRank 
References 
1
0.36
5
Authors
3
Name
Order
Citations
PageRank
Giulianella Coletti157271.49
Romano Scozzafava236748.05
Barbara Vantaggi342246.32