Skip to main content
SpringerLink
Log in

Quasi Conjunction and p-Entailment in Nonmonotonic Reasoning

  • Conference paper
Combining Soft Computing and Statistical Methods in Data Analysis

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 77))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adams, E.W.: The Logic of Conditionals. D. Reidel Publishing Company, Dordrecht (1975)

    MATH  Google Scholar 

  2. Biazzo, V., Gilio, A., Lukasiewicz, T., Sanfilippo, G.: Probabilistic logic under coherence: complexity and algorithms. Ann. Math. Artif. Intell. 45(1-2), 35–81 (2005)

    Article  MathSciNet  Google Scholar 

  3. Dubois, D., Prade, H.: Conditional Objects as Nonmonotonic Consequence relationships. IEEE Trans. Syst. Man Cybern. 24, 1724–1740 (1994)

    Article  MathSciNet  Google Scholar 

  4. Gilio, A.: Probabilistic reasoning under coherence in System P. Ann. Math. Artif. Intell. 34(1-3), 5–34 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Gilio, A.: On Császár’s condition in nonmonotonic reasoning. In: Proceedings of the 10th International Workshop on Non-monotonic Reasoning. Special Session: Uncertainty Frameworks in Non-Monotonic Reasoning, NMR 2004, Whistler BC, Canada (2004), http://events.pims.math.ca/science/2004/NMR/uf.html

  6. Goodman, I.R., Nguyen, H.T.: Conditional objects and the modeling of uncertainties. In: Gupta, M.M., Yamakawa, T. (eds.) Fuzzy Computing: Theory, Hardware, and Applications, pp. 119–138. North-Holland / Elsevier Science Publishers B.V., Amsterdam (1988)

    Google Scholar 

  7. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publishers, Dordrecht (2000)

    MATH  Google Scholar 

  8. Kraus, S., Lehmann, D.J., Magidor, M.: Nonmonotonic reasoning, preferential models and cumulative logics. Artif. Intell. 44(1-2), 167–207 (1990)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Metodi e Modelli Matematici, University of Rome “La Sapienza”, Italy

    A. Gilio

  2. Dipartimento di Scienze Statistiche e Matematiche “S. Vianelli”, University of Palermo, Italy

    G. Sanfilippo

Authors
  1. A. Gilio
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Sanfilippo
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Research Unit on Intelligent Data Analysis and Graphical Models, European Centre for Soft Computing Edificio Científico-Tecnológico. 3a Planta, C/ Gonzalo Gutiérrez Quirós s/n, 33600, Mieres, Spain

    Christian Borgelt , Gil González-Rodríguez  & Wolfgang Trutschnig ,  & 

  2. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Asunción Lubiano

  3. Departamento de Estadística e I.O. yD.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Ángeles Gil

  4. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Przemysław Grzegorzewski

  5. Systems Research Institute, Polish Academy of Science, Newelska 6, 01-447, Warsaw, Poland

    Olgierd Hryniewicz

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gilio, A., Sanfilippo, G. (2010). Quasi Conjunction and p-Entailment in Nonmonotonic Reasoning. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14746-3_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14745-6

  • Online ISBN: 978-3-642-14746-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation