We study the quasi conjunction and the Goodman & Nguyen inclusion relation for conditional events, in the setting of probabilistic default reasoning under coherence. We deepen two recent results given in (Gilio and Sanfilippo, 2010): the first result concerns p-entailment from a family F of conditional events to the quasi conjunction C(S) associated with each nonempty subset S of F; the second result, among other aspects, analyzes the equivalence between p-entailment from F and p-entailment from C(S), where S is some nonempty subset of F. We also characterize p-entailment by some alternative theorems. Finally, we deepen the connections between p-entailment and the Goodman & Nguyen inclusion relation; in particular, for a pair (F,E|H), we study the class K of the subsets S of F such that C(S) is included in E|H. We show that K is additive and has a greatest element which can be determined by applying a suitable algorithm.
|Titolo della pubblicazione ospite||Symbolic and quantitative approaches to reasoning with uncertainty. 11th European Conference, ECSQARU 2011|
|Numero di pagine||12|
|Stato di pubblicazione||Published - 2011|
Serie di pubblicazioni
|Nome||LECTURE NOTES IN ARTIFICIAL INTELLIGENCE|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)
Sanfilippo, G., & Gilio, A. (2011). Quasi conjunction and inclusion relation in probabilistic default reasoning. In Symbolic and quantitative approaches to reasoning with uncertainty. 11th European Conference, ECSQARU 2011 (pagg. 497-508). (LECTURE NOTES IN ARTIFICIAL INTELLIGENCE).