Skip to main content
SpringerLink
Log in

ρ-Connectivity in L-Fuzzy Topological Spaces

  • Conference paper
Fuzzy Information and Engineering

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

  • 1049 Accesses

Abstract

It is known that connectedness is one of the important notions in topology. In this paper, a new notion of connectedness is introduced in L-topological spaces, which is called ρ-connectedness. It contains some nice properties. Especially, the famous K. Fan’s Theorem holds for ρ-connectedness in L-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. Bai, S.Z.: Strong connectedness in L-fuzzy topological spaces. J.Fuzzy Math. 3, 751–759 (1995)

    MATH  MathSciNet  Google Scholar 

  2. Bai, S.Z.: I Type of strong connectivity in L-fuzzy topological spaces. Fuzzy Sets and Systems 99, 357–362 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  3. Luo, H., Bai, S.Z.: A new connectivity in L-fuzzy topological spaces (to submit)

    Google Scholar 

  4. Wang, G.J.: Connectivity in L-fuzzy topological spaces. J. Shanxi Normal University 3, 1–10 (1987)

    MATH  Google Scholar 

  5. Azad, K.K.: On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuity. J. Math. Anal. Appl. 82, 14–32 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hutton, B.: Uniformities on fuzzy topological spaces. J. Math. Anal. Appl. 58, 559 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  7. Thakur, S.S., Singh, S.: On fuzzy semi-preopen sets and fuzzy semi-precontinuity. Fuzzy Sets and Systems 3, 383–391 (1998)

    Article  MathSciNet  Google Scholar 

  8. Wang, G.J.: Theory of L-fuzzy Topological Spaces. Press of Shanxi Normal University, Xi’an (1988)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Chang-qi Xiong & Shi-zhong Bai

Authors
  1. Chang-qi Xiong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. 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

Xiong, Cq., Bai, Sz. (2009). ρ-Connectivity in L-Fuzzy 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_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_42

  • 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