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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