Skip to main content

On a Parameterized Antidivision Operator for Database Flexible Querying

  • Conference paper
Database and Expert Systems Applications (DEXA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5181))

Included in the following conference series:

Abstract

In this paper, we introduce an algebraic relational operator called antidivision and we describe a range of interpretations that can be attached to this operator in the context of databases with fuzzy relations (i.e., relations that contain weighted tuples).

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Bandler, W., Kohout, L.: Fuzzy power sets and fuzzy implication operators. Fuzzy Sets and Systems 4, 13–30 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bordogna, G., Bosc, P., Pasi, G.: Fuzzy inclusion in database and information retrieval query interpretation. In: Proc. ACM SAC 1996, pp. 547–551 (1996)

    Google Scholar 

  3. Bosc, P., Pivert, O.: SQLf: a relational database language for fuzzy querying. IEEE Transactions on Fuzzy Systems 3, 1–17 (1995)

    Article  Google Scholar 

  4. Bosc, P., Pivert, O., Rocacher, D.: About quotient and division of crisp and fuzzy relations. Journal of Intelligent Information Systems 29, 185–210 (2007)

    Article  Google Scholar 

  5. Bosc, P., Prade, H.: An Introduction to the Treatment of Flexible Queries and Uncertain or Imprecise Databases. In: Motro, A., Smets, P. (eds.) Uncertainty Management in Information Systems, pp. 285–324. Kluwer Academic Publishers, Dordrecht (1997)

    Google Scholar 

  6. Dubois, D., Prade, H.: A theorem on implication functions defined from triangular norms. Stochastica 8, 267–279 (1984)

    MATH  MathSciNet  Google Scholar 

  7. Fodor, J.: On fuzzy implication operators. Fuzzy Sets and Systems 42, 293–300 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  8. Lee, J.H., Kim, W.Y., Kim, M.H., Lee, Y.J.: On the evaluation of Boolean operators in the extended Boolean retrieval framework. In: Proc. SIGIR 1993, pp. 291–297 (1993)

    Google Scholar 

  9. Pasi, G.: A logical formulation of the Boolean model and of weighted Boolean models. In: Workshop on Logical and Uncertainty Models for Information Systems (LUMIS 1999), pp. 1–11 (1999)

    Google Scholar 

  10. Rao, J., Lindsay, B.G., Lohman, G.M., Pirahesh, H., Simmen, D.E.: Using EELs, a practical approach to outerjoin and antijoin reordering. In: Proc. ICDE 2001, pp. 585–594 (2001)

    Google Scholar 

  11. Zadeh, L.A.: Fuzzy sets. Inf. Control, vol. 8, pp. 338–353 (1965)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Sourav S. Bhowmick Josef Küng Roland Wagner

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bosc, P., Pivert, O. (2008). On a Parameterized Antidivision Operator for Database Flexible Querying. In: Bhowmick, S.S., Küng, J., Wagner, R. (eds) Database and Expert Systems Applications. DEXA 2008. Lecture Notes in Computer Science, vol 5181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85654-2_55

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85654-2_55

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85653-5

  • Online ISBN: 978-3-540-85654-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics