Skip to main content

Dominance-Based Rough Set Approach Using Possibility and Necessity Measures

  • Conference paper
  • First Online:

Part of the Lecture Notes in Computer Science book series (LNAI,volume 2475)

Abstract

Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.

Keywords

  • Membership Function
  • Dominance Relation
  • Debt Ratio
  • Information Granulation
  • Possibility Measure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/3-540-45813-1_11
  • Chapter length: 8 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   129.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-45813-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   169.00
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Greco, S., B. Matarazzo and R. Słowiński. “Rough Approximation of Preference Relation by Dominance Relations”. ICS Research Report 16/96, Warsaw University of Technology, 1996 and European Journal of Operational Research, vol. 117, pp. 63–83, 1999

    MATH  CrossRef  Google Scholar 

  2. Greco, S., B. Matarazzo and R. Słowiński. “A new rough set approach t evaluation of bankruptcy risk”. In: C. Zopounidis (ed.): Operational Tools in the Management of Financial Risk. Kluwer Academic Publishers, Dordrecht, Boston, pp. 121–136, 1998.

    Google Scholar 

  3. Greco, S., B. Matarazzo and R. Słowiński. “The use of rough sets and fuzzy sets in MCDM”. In: T. Gal, T. Hanne and T. Stewart (eds.): Advances in Multiple Criteria Decision Making. Kluwer Academic Publishers, Dordrecht, Boston, chapter 14, pp. 14.1–14.59, 1999.

    Google Scholar 

  4. Greco, S., B. Matarazzo and R. Słowiński. “A fuzzy extension of the rough set approach to multicriteria and multiattribute sorting”. In J. Fodor, B. De Baets and P. Perny (eds.): Preferences and Decisions under Incomplete Information, Physica-Verlag, Heidelberg, 2000, pp. 131–154.

    Google Scholar 

  5. Greco, S., B. Matarazzo and R. Słowiński. “Fuzzy dominance-based rough set approach” In F. Masulli, R. Parenti, G. Pasi (eds), Advances in Fuzzy Systems and Intelligent Technologies, Shaker Publishing Maastricht (NL), 2000, pp. 56–66.

    Google Scholar 

  6. Inuiguchi, M., S. Greco, R. Słowiński and T. Tanino. “Possibility and necessity measure specification using modifiers for decision making under fuzziness”. Fuzzy Sets and Systems, to appear

    Google Scholar 

  7. Inuiguchi, M. and T. Tanino. “Necessity measures and parametric inclusion relations of fuzzy sets”. Fundamenta Informaticae, vol. 42, pp. 279–302, 2000.

    MATH  MathSciNet  Google Scholar 

  8. Pawlak, Z. “Rough sets”. International Journal of Information & Computer Sciences, vol. 11, pp. 341–356. 1982.

    CrossRef  MATH  MathSciNet  Google Scholar 

  9. Pawlak, Z. Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht, 1991.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Greco, S., Inuiguchi, M., Slowiński, R. (2002). Dominance-Based Rough Set Approach Using Possibility and Necessity Measures. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds) Rough Sets and Current Trends in Computing. RSCTC 2002. Lecture Notes in Computer Science(), vol 2475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45813-1_11

Download citation

  • DOI: https://doi.org/10.1007/3-540-45813-1_11

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44274-5

  • Online ISBN: 978-3-540-45813-5

  • eBook Packages: Springer Book Archive

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.