By means of a logical condition between two partitions ℒ and ℒ′ ("weak logical independence"), we find connections between probabilities and possibilities. We show that the upper envelope of the extensions of a probability on is a possibility ℒ on the algebra generated by ℒ′. 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. © 2008 Springer-Verlag Berlin Heidelberg.
Possibility measures in probabilistic inference / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - STAMPA. - 48(2008), pp. 51-58. - ADVANCES IN SOFT COMPUTING. [10.1007/978-3-540-85027-4_7].
Possibility measures in probabilistic inference
SCOZZAFAVA, Romano;VANTAGGI, Barbara
2008
Abstract
By means of a logical condition between two partitions ℒ and ℒ′ ("weak logical independence"), we find connections between probabilities and possibilities. We show that the upper envelope of the extensions of a probability on is a possibility ℒ on the algebra generated by ℒ′. 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. © 2008 Springer-Verlag Berlin Heidelberg.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
