In this paper we first recall some notions and results on the coherence-based probabilistic treatment of uncertainty. Then, we deepen some probabilistic aspects in nonmonotonic reasoning, by generalizing OR, CM, and Cut rules. We also illustrate the degradation of these inference rules when the number of premises increases. Finally, we show that the lower bounds obtained when applying OR and Quasi-Conjunction inference rules coincide, respectively, with Hamacher and Lukasiewicz t-norms; the upper bounds in both rules coincide with Hamacher t-conorm. (C) 2011 Elsevier Inc. All rights reserved.

Generalizing inference rules in a coherence-based probabilistic default reasoning / Gilio, Angelo. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 53:3(2012), pp. 413-434. [10.1016/j.ijar.2011.08.004]

Generalizing inference rules in a coherence-based probabilistic default reasoning

GILIO, ANGELO
2012

Abstract

In this paper we first recall some notions and results on the coherence-based probabilistic treatment of uncertainty. Then, we deepen some probabilistic aspects in nonmonotonic reasoning, by generalizing OR, CM, and Cut rules. We also illustrate the degradation of these inference rules when the number of premises increases. Finally, we show that the lower bounds obtained when applying OR and Quasi-Conjunction inference rules coincide, respectively, with Hamacher and Lukasiewicz t-norms; the upper bounds in both rules coincide with Hamacher t-conorm. (C) 2011 Elsevier Inc. All rights reserved.
2012
generalization of inference rules; coherence principle; t-conorms.; t-conorms; t-norms; probabilistic default reasoning; lower and upper bounds
01 Pubblicazione su rivista::01a Articolo in rivista
Generalizing inference rules in a coherence-based probabilistic default reasoning / Gilio, Angelo. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 53:3(2012), pp. 413-434. [10.1016/j.ijar.2011.08.004]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/380682
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