Skip to main content
SpringerLink
Log in

Composition of General Fuzzy Approximation Spaces

  • Conference paper
  • First Online:
Book cover Advances in Soft Computing — AFSS 2002 (AFSS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2275))

Included in the following conference series:

Abstract

In this paper, the properties of general fuzzy approximation operators are studied, and the concept of composition of two general fuzzy approximation spaces in the rough set theory is given. The relationships between the approximation operators in the composite space and in the two fuzzy approximation spaces are discussed. It is proved that the approximation operators in the composite space are just the composition of the approximation operators in the two fuzzy approximation spaces.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Pawlak Z.: Rough sets. International Journal of Computer and Information Sciences 11 (1982) 205–218

    Article  MathSciNet  Google Scholar 

  2. Zhang Wenxiu, Wu Weizhi et al.: Rough Set Theory and Approac. Science Press, Beijing (2001)

    Google Scholar 

  3. Yao Y. Y. and Lin T. Y.: Generalization of rough sets using modal logic. Intelligent Automation and Soft Computing, an International Journal 2 (1996) 103–120

    Google Scholar 

  4. Zhang Wenxiu and Wu Weizhi: Rough set models based on random sets (I). Journal of Xi’an Jiaotong University 34 (2000) 75–79

    Google Scholar 

  5. Morsi N. N. and Yakout M. M.: Axioms for fuzzy rough sets. Fuzzy Sets and Systems, 100 (1998) 327–342

    Article  MATH  MathSciNet  Google Scholar 

  6. Yao Y. Y.: Constructive and algebraic methods of the theory of rough sets. Information Sciences 109 (1998) 21–47

    Article  MATH  MathSciNet  Google Scholar 

  7. Thiele H.: On axiomatic characterizations of crisp approximation operators. Information Sciences 129 (2000) 221–226

    Article  MATH  MathSciNet  Google Scholar 

  8. Dubois D. and Prade H.: Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems 17 (1990) 191–208

    Article  MATH  Google Scholar 

  9. Zhang Wenxiu, Wang Guojun et al.: Introduction to Fuzzy Set Theory. Xi’an Jiaotong University Press, Xi’an (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Information and System Science, Faculty of Science, Xi’an Jiaotong University, 710049, Xi’an, Shaan’xi, P.R. China

    Jusheng Mi

  2. College of Mathematics and Information Science, Hebei Normal University, 050016, Hebei, Shijiazhuang, P.R. China

    Wenxiu Zhang

Authors
  1. Jusheng Mi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wenxiu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Electronics and Communication Sciences Unit, Indian Statistical Institute, 203 B.T. Road, 700108, Calcutta, India

    Nikhil R. Pal

  2. Brain Science Institute, RIKEN, 2-1 Hirosawa, Wako, Japan

    Michio Sugeno

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mi, J., Zhang, W. (2002). Composition of General Fuzzy Approximation Spaces. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_68

Download citation

  • DOI: https://doi.org/10.1007/3-540-45631-7_68

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43150-3

  • Online ISBN: 978-3-540-45631-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation