Skip to main content

Min-based Assertional Merging Approach for Prioritized DL-Lite Knowledge Bases

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8720))

Abstract

DL-Lite is a powerful and tractable family of description logics specifically tailored for applications that use huge volumes of data. In many real world applications, data are often provided by several and potentially conflicting sources of information having different levels of priority. Possibility theory offers a very natural framework to deal with ordinal and qualitative uncertain beliefs or prioritized preferences. Thus, to encode prioritized assertional facts, a possibility DL-Lite logic is more suited.

We propose in this paper a min-based assertional merging operator for possibilistic DL-Lite knowledge bases. We investigate in particular the situation where the sources share the same terminological base. We present a syntactic method based on conflict resolution which has a meaningful semantic counterpart when merging possibility distributions. We finally provide an analysis in the light of a new set of postulates dedicated to uncertain DL-Lite merging.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Artale, A., Calvanese, D., Kontchakov, R., Zakharyaschev, M.: The dl-lite family and relations. J. Artif. Intell. Res. (JAIR) (2009)

    Google Scholar 

  2. Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F.: The Description Logic Handbook: Theory, Implementation and Applications, 2nd edn. Cambridge University Press, New York (2010)

    Google Scholar 

  3. Benferhat, S., Bouraoui, Z.: Possibilistic dl-lite. In: Liu, W., Subrahmanian, V.S., Wijsen, J. (eds.) SUM 2013. LNCS, vol. 8078, pp. 346–359. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  4. Benferhat, S., Bouraoui, Z., Loukil, Z.: Min-based fusion of possibilistic dl-lite knowledge bases. In: Web Intelligence, pp. 23–28. IEEE Computer Society (2013)

    Google Scholar 

  5. Benferhat, S., Dubois, D., Prade, H.: Argumentative inference in uncertain and inconsistent knowledge bases. In: Heckerman, D., Mamdani, E.H. (eds.) UAI, pp. 411–419. Morgan Kaufmann (1993)

    Google Scholar 

  6. Benferhat, S., Dubois, D., Prade, H.: Syntactic combination of uncertain information: A possibilistic approach. In: Gabbay, D.M., Kruse, R., Nonnengart, A., Ohlbach, H.J. (eds.) ECSQARU-FAPR 1997. LNCS, vol. 1244, pp. 30–42. Springer, Heidelberg (1997)

    Google Scholar 

  7. Benferhat, S., Kaci, S.: Fusion of possibilistic knowledge bases from a postulate point of view. Int. J. Approx. Reasoning 33(3), 255–285 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  8. Bloch, I., Hunter, A., Appriou, A., Ayoun, A., Benferhat, S., Besnard, P., Cholvy, L., Cooke, R.M., Cuppens, F., Dubois, D., Fargier, H., Grabisch, M., Kruse, R., Lang, J., Moral, S., Prade, H., Saffiotti, A., Smets, P., Sossai, C.: Fusion: General concepts and characteristics. Int. J. Intell. Syst. 16(10), 1107–1134 (2001)

    Article  Google Scholar 

  9. Calvanese, D., Giacomo, G.D., Lembo, D., Lenzerini, M., Rosati, R.: Tractable reasoning and efficient query answering in description logics: The dl-lite family. J. Autom. Reasoning 39(3), 385–429 (2007)

    Article  MATH  Google Scholar 

  10. Dubois, D., Lang, J., Prade, H.: Dealing with multi-source information in possibilistic logic. In: ECAI, pp. 38–42 (1992)

    Google Scholar 

  11. Dubois, D., Prade, H.: Possibility theory. Plenum Press, New-York (1988)

    Book  MATH  Google Scholar 

  12. Katsuno, H., Mendelzon, A.O.: Propositional knowledge base revision and minimal change. Artificial Intelligence 52(3), 263–294 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  13. Knuth, D.E.: The Art of Computer Programming. Seminumerical Algorithms, vol. 2, pp. 694–695. Addison Wesley (1998)

    Google Scholar 

  14. Konieczny, S., Pérez, R.P.: Merging information under constraints: A logical framework. J. Log. Comput. 12(5), 773–808 (2002)

    Article  MATH  Google Scholar 

  15. Konieczny, S., Pino Pérez, R.: Merging information under constraints: a logical framework. Journal of Logic and Computation 12(5) (2002)

    Google Scholar 

  16. Poggi, A., Lembo, D., Calvanese, D., Giacomo, G.D., Lenzerini, M., Rosati, R.: Linking data to ontologies. J. Data Semantics 10, 133–173 (2008)

    Google Scholar 

  17. Qi, G., Ji, Q., Pan, J.Z., Du. Extending, J.: description logics with uncertainty reasoning in possibilistic logic. Int. J. Intell. Syst. 26(4), 353–381 (2011)

    Article  MATH  Google Scholar 

  18. Qi, G., Liu, W., Bell, D.A.: Knowledge base revision in description logics. In: Fisher, M., van der Hoek, W., Konev, B., Lisitsa, A. (eds.) JELIA 2006. LNCS (LNAI), vol. 4160, pp. 386–398. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Benferhat, S., Bouraoui, Z., Lagrue, S., Rossit, J. (2014). Min-based Assertional Merging Approach for Prioritized DL-Lite Knowledge Bases. In: Straccia, U., Calì, A. (eds) Scalable Uncertainty Management. SUM 2014. Lecture Notes in Computer Science(), vol 8720. Springer, Cham. https://doi.org/10.1007/978-3-319-11508-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11508-5_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11507-8

  • Online ISBN: 978-3-319-11508-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics