Skip to main content

On the Applicability of Extended Possibilistic Truth Values in Flexible Database Modelling and Querying

  • Chapter
Flexible Databases Supporting Imprecision and Uncertainty

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 203))

  • 292 Accesses

Abstract

The mathematical logic, supporting a database model, largely determines the behavior and interaction of the model on constraint satisfaction and on database querying. For traditional database models that only handle perfectly described data and do not explicitly deal with missing information, the classical two-valued Boolean logic is well suited: both integrity constraints and querying criteria can be described by Boolean expressions, which should evaluate to true in order to be satisfied.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. J. Biskup. A formal approach to null values in database relations. In H. Gallaire, J. Minker, and Nicolas J., editors, Advances in Data Base Theory, pages 299–341. Plenum Press, New York, USA, 1981.

    Google Scholar 

  2. E.F. Codd. Missing information (applicable and inapplicable) in relational databases. A CM SIGMOD Record, 15(4):53–78, 1986.

    Article  Google Scholar 

  3. E.F. Codd. A relational model of data for large shared data banks. Communications of the ACM, 13(6), 1986. Republished in (1983) Communications of the ACM 26(1).

    Google Scholar 

  4. E.F. Codd. More commentary on missing information in relational databases (applicable and inapplicable information). ACM SIGMOD Record, 16(1):42–50, 1987.

    Article  Google Scholar 

  5. C. J. Date. Null values in database management. In Relational Database: Selected Writings, pages 313–334. Addisson-Wesley Publishing Company, Massachusetts, USA, 1986.

    Google Scholar 

  6. G. de Cooman. From possibilistic information ot kleene’s strong multivalued logics. In Dubois, D. et al., editor, Fuzzy sets, logics and reasoning about knowledge, pages 315–323. Kluwer Academic Publishers, Boston, USA, 1999.

    Google Scholar 

  7. G. de Tré. Extended possibilistic truth values. International Journal of Intelligent Systems, 17:427–446, 2002.

    Article  MATH  Google Scholar 

  8. G. de Tré and B. De Baets. Aggregating constraint satisfaction degrees expressed by possibilistic truth values. IEEE Transactions on Fuzzy Systems, 11(3):361–368, 2003.

    Article  Google Scholar 

  9. G. de Tré and R. de Caluwe. A constraint based fuzzy object oriented database model. In Z. Ma, editor, Advances in Fuzzy Object-Oriented Databases: Modeling and Applications, pages 1–45. Idea Group Publishing, Hershey, USA, 2005.

    Google Scholar 

  10. G. de Tré, R. de Caluwe, and H. Prade. Null values revisited in prospect of data integration. Lecture Notes in Computer Science, 3226:79–90, 2004.

    Article  Google Scholar 

  11. G. de Tré, R. de Caluwe, J. Verstraete, and A. Hallez. Conjunctive aggregation of possibilistic truth values and flexible database querying. Lecture Notes in Artificial Intelligence, 2522:344–355, 2002.

    Google Scholar 

  12. G. de Tré, T. Matthé, K. Tourné, and B. Callens. Ranking the possible alternatives in flexible querying: An extended possibilistic approach. Lecture Notes in Computer Science, 2869:204–211, 2003.

    Article  Google Scholar 

  13. D. Dubois and H. Prade. Fuzzy Sets and Systems Theory and Applications. Academic Press, 1980.

    Google Scholar 

  14. D. Dubois and H. Prade. Possibility theory, probability theory and multiple-valued logics: A clarification. Annals of Mathematics and Artificial Intelligence, 32(1–4):35–66, 2001.

    Article  MathSciNet  Google Scholar 

  15. H. Prade. Possibility sets, fuzzy sets and their relation to lukasiewicz logic. In Proc. of the 12th International Symposium on Multiple- Valued Logic, pages 223–227, 1982.

    Google Scholar 

  16. H. Prade and C. Testemale. Generalizing database relational algebra for the treatment of incomplete or uncertain information and vague queries. Information Sciences, 34:115–143, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  17. L.A. Zadeh. Fuzzy sets. Information and Control, 8:338–353, 1965.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

de Tré, G., de Caluwe, R. (2006). On the Applicability of Extended Possibilistic Truth Values in Flexible Database Modelling and Querying. In: Bordogna, G., Psaila, G. (eds) Flexible Databases Supporting Imprecision and Uncertainty. Studies in Fuzziness and Soft Computing, vol 203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33289-8_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-33289-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33288-6

  • Online ISBN: 978-3-540-33289-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics