Skip to main content
SpringerLink
Log in

Multifunctions as Approximation Operations in Generalized Approximation Spaces

  • Conference paper
  • First Online:
Rough Sets and Current Trends in Computing (RSCTC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

Included in the following conference series:

  • 727 Accesses

Abstract

An approximation space can be defined as a quintuple \( \mathcal{A} = (T,U,F,\Phi ,\Gamma ) \), where F: T → U is a multifunction and Φ and Γ are unary operations on the power set of U.

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

Access this chapter

Log in via an institution
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. P.M. Cohn. Universal algebra. D. Reidel, Dordrecht, 1981.

    MATH  Google Scholar 

  2. P.R. Halmos. Naive set theory. Springer, New York, 1974.

    MATH  Google Scholar 

  3. P. Maritz. Glasnik Matematički 31(51) (1996), 159–178.

    MATH  MathSciNet  Google Scholar 

  4. A. Münnich and A. Száz. Publ. Inst. Math. (Beograd) (N.S.) 33(47) (1983), 163–168.

    MathSciNet  Google Scholar 

  5. Z. Pawlak. Internat. J. Comput. Inform. Sci. 11(1982), 341–356.

    Article  MATH  MathSciNet  Google Scholar 

  6. J.A. Pomykała. Bull. Polish Acad. Sci. Math. 35 (1987), 653–662.

    MATH  MathSciNet  Google Scholar 

  7. U. Wybraniec-Skardowska. Bull. Polish Acad. Sci. Math. 37 (1989),51–62.

    MATH  MathSciNet  Google Scholar 

  8. Y.Y. Yao and T.Y. Lin. Intelligent Automation and Soft Computing, An International Journal 2 (1996), 103–120.

    Google Scholar 

  9. Y.Y. Yao, S.K.M. Wong and T.Y. Lin. In: Rought sets and data mining, analysis for imprecise data. Ed. T.Y. Lin and N. Cercone. Kluwer, Boston, 1997, 47–75.

    Google Scholar 

  10. W. Żakowski. Demon. Math. 16 (1983), 761–769.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Stellenbosch, South Africa

    P. Maritz

Authors
  1. P. Maritz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-665, Warszawa, Poland

    Lech Polkowski

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warszawa, Poland

    Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Maritz, P. (1998). Multifunctions as Approximation Operations in Generalized Approximation Spaces. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_19

Download citation

  • DOI: https://doi.org/10.1007/3-540-69115-4_19

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation