Skip to main content
SpringerLink
Log in

L-Fuzzy Relative SP-Compact Sets

  • Conference paper
Fuzzy Information and Engineering

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

  • 1061 Accesses

Abstract

The concept of relative SP-compactness is introduced in L-fuzzy topological spaces. Some characteristic theorems of relative SP-compactness are given in terms of α-net, α-filter, r-sp-cover form and r  + -finite intersection property. Relationship between relative SP compactness and SP-compactness is investigated. Finally, it is proved that the relative SP -compactness is preserved under SP-irresolute mapping.

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.

Similar content being viewed by others

References

  1. Arhangel’sk, A.V.: Relative topological properties and relative topological spaces. Topology Apple 70, 87–99 (1996)

    Article  Google Scholar 

  2. Thakur, S.S., Singh, S.: On fuzzy semi-preopen sets and fuzzy semi-precontinutity. Fuzzy sets and systems 98(3), 383–391 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  3. Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  4. Wang, G.J.: Theory of L-fuzzy topological spaces. Press of Shaanxi Normal University Xi’an, China (1988)

    Google Scholar 

  5. Shi-zhong, B.: L-fuzzy SP-Compact Sets. Advances in Methematics 33(3) (2004)

    Google Scholar 

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

    MATH  Google Scholar 

  7. Dongsheng, Z.: The N-Compactness in L-fuzzy topological spaces. J. Math. Anal. Appl. 128, 64–79 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  8. Hutton, B.: Products of fuzzy topological spaces. Topologh Appl. 11, 59 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  9. Lowea, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621 (1976)

    Article  MathSciNet  Google Scholar 

  10. Wang, G.J.: A new fuzzy compactness defined by fuzzy nets. J. Math. Anal. Appl. 94, 1 (1983)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Wuyi University, Guangdong, China

    Wei-min He

Authors
  1. Wei-min He
    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

He, Wm. (2009). L-Fuzzy Relative SP-Compact Sets. 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_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_23

  • 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