Skip to main content

Monotonic Variable Consistency Rough Set Approaches

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNAI,volume 4481)

Abstract

We consider new definitions of Variable Consistency Rough Set Approaches that employ monotonic measures of membership to the approximated set. The monotonicity is understood with respect to the set of considered attributes. This kind of monotonicity is related to the monotonicity of the quality of approximation, considered among basic properties of rough sets. Measures that were employed by approaches proposed so far lack this property. New monotonic measures are considered in two contexts. In the first context, we define Variable Consistency Indiscernibility-based Rough Set Approach (VC-IRSA). In the second context, new measures are applied to Variable Consistency Dominance-based Rough Set Approaches (VC-DRSA). Properties of new definitions are investigated and compared to previously proposed Variable Precision Rough Set (VPRS) model, Rough Bayesian (RB) model and VC-DRSA.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-540-72458-2_15
  • 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   109.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-72458-2
  • 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   139.00
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Błaszczyński, J., et al.: On Variable Consistency Dominance-based Rough Set Approaches. In: Greco, S., et al. (eds.) RSCTC 2006. LNCS (LNAI), vol. 4259, pp. 191–202. Springer, Heidelberg (2006)

    CrossRef  Google Scholar 

  2. Fitelson, B.: Studies in Bayesian Confirmation Theory. Ph. D. thesis, University of Wisconsin-Madison (2001)

    Google Scholar 

  3. Greco, S., Matarazzo, B., Słowiński, R.: Rough Membership and Bayesian Confirmation Measures for Parameterized Rough Sets. In: Ślęzak, D., et al. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 314–324. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  4. Pawlak, Z., Skowron, A.: Rough Membership Functions. In: Yager, R.R., Fedrizzi, M., Kacprzyk, J. (eds.) Advances in the Dampster-Shafer Theory of Evidence, pp. 251–271. Wiley, New York (1994)

    Google Scholar 

  5. Ślęzak, D.: Rough Sets and Bayes Factor. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets III. LNCS, vol. 3400, pp. 202–229. Springer, Heidelberg (2005)

    Google Scholar 

  6. Ziarko, W.: Variable Precision Rough Set Model. J. Comput. Syst. Sci. 46(1), 39–59 (1993)

    MATH  CrossRef  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Błaszczyński, J., Greco, S., Słowiński, R., Szeląg, M. (2007). Monotonic Variable Consistency Rough Set Approaches. In: Yao, J., Lingras, P., Wu, WZ., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds) Rough Sets and Knowledge Technology. RSKT 2007. Lecture Notes in Computer Science(), vol 4481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72458-2_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72458-2_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72457-5

  • Online ISBN: 978-3-540-72458-2

  • eBook Packages: Computer ScienceComputer Science (R0)