We define weak implication H ->(phi) E ("H weakly implies E under phi") through the relation phi(E vertical bar H) = 1, where phi is a (coherent) conditional uncertainty measure. By considering various such measures with different levels of generality, we get different sets of "inferential rules", that correspond to those of default logic when phi reduces to a conditional probability.
Weak implication in terms of conditional uncertainty measures / Giulianella, Coletti; Scozzafava, Romano; Vantaggi, Barbara. - STAMPA. - 4724(2007), pp. 139-150. ((Intervento presentato al convegno 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty tenutosi a Hammamet, TUNISIA nel OCT 31-NOV 02, 2007. - LECTURE NOTES IN COMPUTER SCIENCE. [10.1007/978-3-540-75256-1_15].
Weak implication in terms of conditional uncertainty measures
SCOZZAFAVA, Romano;VANTAGGI, Barbara
2007
Abstract
We define weak implication H ->(phi) E ("H weakly implies E under phi") through the relation phi(E vertical bar H) = 1, where phi is a (coherent) conditional uncertainty measure. By considering various such measures with different levels of generality, we get different sets of "inferential rules", that correspond to those of default logic when phi reduces to a conditional probability.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
