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.
2007
Symbolic and Quantitative Approaches to Reasoning with Uncertainty
9783540752554
9783540752561
conditional uncertainty measures; default logic; weak implication
02 Pubblicazione su volume::02a Capitolo, Articolo o Contributo
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/241144
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