Quasi Conjunction and p-entailment in Nonmonotonic Reasoning (bibtex)

by Angelo Gilio, Giuseppe Sanfilippo

Abstract:

We study, in the setting of coherence, the extension of a probability assessment defined on n conditional events to their quasi conjunction. We consider, in particular, two special cases of logical dependencies; moreover, we examine the relationship between the notion of p-entailment of Adams and the inclusion relation of Goodman and Nguyen. We also study the probabilistic semantics of the QAND rule of Dubois and Prade; then, we give a theoretical result on p-entailment.

Reference:

Angelo Gilio, Giuseppe Sanfilippo, "Quasi Conjunction and p-entailment in Nonmonotonic Reasoning", Chapter in Combining Soft Computing and Statistical Methods in Data Analysis, Advances in Intelligent and Soft Computing, Springer-Verlag, vol. 77, pp. 321-328, 2010. ([Tec.Rep
pdf])

Bibtex Entry:

@INCOLLECTION{2010GS-SMPS, author = {Angelo Gilio and Giuseppe Sanfilippo}, title = {Quasi {C}onjunction and p-entailment in Nonmonotonic Reasoning}, booktitle = {Combining Soft Computing and Statistical Methods in Data Analysis}, publisher = {Springer-{V}erlag}, year = {2010}, editor = {Borgelt, C. and Rodr{\'i}guez, G.G. and Trutschnig, W. and Lubiano, M.A. and Gil, M.{\'A}.; Grzegorzewski, P. and Hryniewicz, O.}, volume = {77}, series = {{A}dvances in {I}ntelligent and {S}oft {C}omputing}, pages = {321-328}, note = {ISBN: 978-3-642-14745-6}, abstract = {We study, in the setting of coherence, the extension of a probability assessment defined on n conditional events to their quasi conjunction. We consider, in particular, two special cases of logical dependencies; moreover, we examine the relationship between the notion of p-entailment of Adams and the inclusion relation of Goodman and Nguyen. We also study the probabilistic semantics of the QAND rule of Dubois and Prade; then, we give a theoretical result on p-entailment.}, comment = {<a href="http://www.unipa.it/sanfilippo/pdf/2010/smps/TR_SMPS2010.pdf">[Tec.Rep pdf]</a>}, doi = {10.1007/978-3-642-14746-3_40}, isbn = {978-3-642-14745-6}, issn = {1867-5662}, scopus = {{2-s2.0-79960133481}}, url = {http://dx.doi.org/10.1007/978-3-642-14746-3_40}, wos = {{WOS:000289216000040}} }

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