Skip to main content

Introducing Incomparability in Modeling Qualitative Belief Functions

  • Conference paper
Book cover Modeling Decisions for Artificial Intelligence (MDAI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7647))

Abstract

This paper investigates a new model for generating belief functions from qualitative preferences. Our approach consists in constructing appropriate quantitative information from incomplete preferences relations. It is able to combine preferences despite the presence of incompleteness and incomparability in their preference orderings. The originality of our model is to provide additional interpretation values to the existing methods based on strict preferences and indifferences only.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ben Yaghlane, A., Denoeux, T., Mellouli, K.: Constructing belief functions from expert opinions. In: Proceedings of the 2nd International Conference on Information and Communication Technologies: from Theory to Applications (ICTTA 2006), Damascus, Syria, pp. 75–89 (2006)

    Google Scholar 

  2. Ben Yaghlane, A., Denoeux, T., Mellouli, K.: Elicitation of expert opinions for constructing belief functions. In: Proceedings of IPMU, Paris, France, pp. 403–411 (2006)

    Google Scholar 

  3. Boujelben, M.A., Smet, Y.D., Frikha, A., Chabchoub, H.: A ranking model in uncertain, imprecise and multi-experts contexts: The application of evidence theory. International Journal of Approximate Reasoning 52, 1171–1194 (2011)

    MathSciNet  MATH  Google Scholar 

  4. Bryson, N., Mobolurin, A.: A process for generating quantitative belief functions. European Journal of Operational Research 115, 624–633 (1999)

    Article  MATH  Google Scholar 

  5. Pal, N., Bezdek, J., Hemasinha, R.: Uncertainty measures for evidential reasoning I: A review. International Journal of Approximate Reasoning 7, 165–183 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  6. Pal, N., Bezdek, J., Hemasinha, R.: Uncertainty measures for evidential reasoning II: A review. International Journal of Approximate Reasoning 8, 1–16 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  7. Parsons, S.: Some qualitative approaches to applying the DS theory. Information and Decision Technologies 19, 321–337 (1994)

    Google Scholar 

  8. Roubens, M., Vincke, P.: Preference modelling. Springer, Berlin (1985)

    Book  MATH  Google Scholar 

  9. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press (1976)

    Google Scholar 

  10. Smets, P.: The application of the Transferable Belief Model to diagnostic problems. International Journal of Intelligent Systems 13, 127–158 (1998)

    Article  MATH  Google Scholar 

  11. Smets, P., Kennes, R.: The Transferable Belief Model. Artificial Intelligence 66, 191–234 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  12. Wong, S., Lingras, P.: Representation of qualitative user preference by quantitative belief functions. IEEE Transactions on Knowledge and Data Engineering 6, 72–78 (1994)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ennaceur, A., Elouedi, Z., Lefevre, E. (2012). Introducing Incomparability in Modeling Qualitative Belief Functions. In: Torra, V., Narukawa, Y., López, B., Villaret, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2012. Lecture Notes in Computer Science(), vol 7647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34620-0_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34620-0_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34619-4

  • Online ISBN: 978-3-642-34620-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics