Skip to main content
SpringerLink
Log in

PS-Closedness in L-Topological Spaces

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

  • 1049 Accesses

Abstract

A new notion of PS-closedness is introduced in L-topological spaces, where L is a fuzzy lattice. PS-closedness is a weaker form of pre-semicompactness, and it is a stronger form of P-closedness and S *-closedness, respectively. It is a good L-extension of PS-closedness of topological spaces and preserves many good properties of closedness in topological 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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Aygun, H.: α-compactness in L-fuzzy topological spaces. Fuzzy Sets and Systems 116, 317–324 (2000)

    Article  MathSciNet  Google Scholar 

  2. Aygun, H., Kudri, S.R.T.: P-closedness in L-fuzzy topological spaces. Fuzzy Sets and Systems 109, 277–283 (2000)

    Article  MathSciNet  Google Scholar 

  3. Bai, S.Z.: Pre-semiclosed sets and PS-convergence in L-fuzzy topological spaces. J. fuzzy Math. 9, 497–509 (2001)

    MATH  MathSciNet  Google Scholar 

  4. Bai, S.Z.: Pre-semicompactness in L-topological spaces (in press, 2008)

    Google Scholar 

  5. Bai, S.Z., Wang, W.L.: Fuzzy non-continuous mappings and fuzzy pre-semi-separation axioms. Fuzzy Sets and Systems 94, 261–268 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gierz, G., et al.: A Compendium of Continuous Lattices. Springer, Berlin (1980)

    MATH  Google Scholar 

  7. Kudri, S.R.T.: Compactness in L-fuzzy topological spaces. Fuzzy Sets and Systems 67, 329–336 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kudri, S.R.T.: Semicompactness and S *-closedness in L-fuzzy topological spaces. Fuzzy Sets and Systems 109, 223–231 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kudri, S.R.T., Warner, M.W.: Some good L-fuzzy compactness-related concepts and their properties I. Fuzzy Sets and Systems 76, 141–155 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kudri, S.R.T., Warner, M.W.: Some good L-fuzzy compactness-related concepts and their properties II. Fuzzy Sets and Systems 76, 157–168 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  11. Warner, M.W.: Fuzzy topology with respect to continuous lattices. Fuzzy Sets and Systems 35, 85–91 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  12. Warner, M.W.: Frame-fuzzy points and membership. Fuzzy Sets and Systems 42, 335–344 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  13. Zhao, D.S.: The N-compactness in L-fuzzy topological spaces. J. Math. Anal. Appl. 128, 64–79 (1987)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Wuyi University, Guangdong, 529020, P.R. China

    Shi-Zhong Bai

Authors
  1. Shi-Zhong Bai
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bai, SZ. (2009). PS-Closedness in L-Topological Spaces. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation