By means of a logical condition between two partitions (“weak logical independence”), we find connections between probabilities and possibilities. We show that the upper envelope of the extensions of a probability on one of the two partitions is a possibility on the algebra generated by the other one. Moreover we characterize the set of possibilities obtained as extensions of a coherent probability on an arbitrary set: in particular, we find the two “extreme” (i.e., dominated and dominating) possibilities.
Possibility measures in probabilistic inference
COLETTI, Giulianella;
2008
Abstract
By means of a logical condition between two partitions (“weak logical independence”), we find connections between probabilities and possibilities. We show that the upper envelope of the extensions of a probability on one of the two partitions is a possibility on the algebra generated by the other one. Moreover we characterize the set of possibilities obtained as extensions of a coherent probability on an arbitrary set: in particular, we find the two “extreme” (i.e., dominated and dominating) possibilities.File in questo prodotto:
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