Skip to main content
SpringerLink
Log in

A Study on Fuzzy Weakly Ultra Separation Axioms via Fuzzy \( \widehat{\varvec{\mu}} \)Β-Kernel Set

  • Conference paper
  • First Online:
Computational Vision and Bio Inspired Computing

Part of the book series: Lecture Notes in Computational Vision and Biomechanics ((LNCVB,volume 28))

  • 2032 Accesses

Abstract

In this paper, we introduce a new class of fuzzy closed sets called fuzzy \( \widehat{\mu } \)β-closed sets also we introduce the concept of fuzzy \( \widehat{\mu } \)β-kernel set in a fuzzy topological space. We also investigate some of the properties of weak fuzzy separation axioms like fuzzy \( \widehat{\mu } \)β-Ri space, i = 0, 1, 2, 3 and fuzzy \( \widehat{\mu } \)β-Ti-space, i = 0, 1, 2, 3, 4.

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 EPUB and 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
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Wong, C.K.: Fuzzy points and local properties of fuzzy topology. J. Math. Anal. Appl. 46, 316–328 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chang, C.L.: Fuzzy topological spaces. J. Math. Anal. Appl. 24, 182–190 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  3. Goguen, J.A.: The fuzzy Tychonoff theorem. J. Math. Anal. Appl. 43, 734–742 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kubiak, T.: On fuzzy topologies, Ph.D. thesis. A. Mickiewicz, Poznan (1985)

    Google Scholar 

  5. Sostak, A.P.: On a fuzzy topological structure. Rendiconti del Circolo Matematico di Palermo. Series II, 11, 89–103 (1985)

    Google Scholar 

  6. Andrijevic, D.: Semi preopen sets. Mat. Vesnik. 38, 24–32 (1986)

    MathSciNet  MATH  Google Scholar 

  7. Subashini, J., Indirani, K.: On \( \widehat{\mu } \)β set and continuity in Topological Spaces (Proceeding) (2012)

    Google Scholar 

  8. Zadeh, L.A.: Fuzzy sets. Info. Control 8, 338–353 (1965)

    Google Scholar 

  9. Wali, R.S., Benchalli, S.S.: Some topics in general and fuzzy topological spaces, Ph.D. Thesis, Karnataka University Dharwd (2006)

    Google Scholar 

  10. Klir, G.J., Clair, U.S., Yuan, B.: Fuzzy set theory. Foundations and applications (1997)

    Google Scholar 

  11. Balasubramanian, G.: Fuzzy β open sets and fuzzy β separation axioms. Kybernetika 35, 215–223 (1999)

    MathSciNet  MATH  Google Scholar 

  12. Sarkar, M.: On fuzzy topological spaces. J. Math. Anal. Appl. 79, 384–394 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, RVS College of Arts and Science, Sulur, Coimbatore, India

    J. Subashini

  2. Nirmala College for Women Red Fields, Coimbatore, India

    K. Indirani

Authors
  1. J. Subashini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Indirani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Subashini .

Editor information

Editors and Affiliations

  1. Karunya University , Coimbatore, Tamil Nadu, India

    D. Jude Hemanth

  2. RVS Technical Campus, Coimbatore, Tamil Nadu, India

    S. Smys

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Subashini, J., Indirani, K. (2018). A Study on Fuzzy Weakly Ultra Separation Axioms via Fuzzy \( \widehat{\varvec{\mu}} \)Β-Kernel Set . In: Hemanth, D., Smys, S. (eds) Computational Vision and Bio Inspired Computing . Lecture Notes in Computational Vision and Biomechanics, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-319-71767-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-71767-8_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-71766-1

  • Online ISBN: 978-3-319-71767-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation