Skip to main content
SpringerLink
Log in

Vague semiprime ideals of a \(\Gamma \)-semiring

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The concept of vague semiprime ideal of a \(\Gamma \)-semiring with membership and non-membership functions taking the values in unit interval of real numbers are introduced and investigated some results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bhargavi, Y., Eswarlal, T.: Vague ideals and normal vague ideals in \(\Gamma \)-Semirings. Int. J. Innov. Res. Dev. 4(3), 1–8 (2015)

    Google Scholar 

  2. Bhargavi, Y., Eswarlal, T.: Vague prime ideals in \(\Gamma \)-Semirings. Int. J. Appl. Eng. Res. 10(9), 21793–21811 (2015)

    Google Scholar 

  3. Bhargavi, Y., Eswarlal, T.: Operations on Vague Ideals of a \(\Gamma \)-Semirings (Communicated)

  4. Dutta, T.K., Biswas, B.K.: Structure of fuzzy ideals of semirings. Bull. Calcutta Math. Soc. 89(4), 271–284 (1997)

    MathSciNet  MATH  Google Scholar 

  5. Dutta, T.K., Biswas, B.K.: Fuzzy prime ideals of a semiring. Bull. Malays. Math. Soc. (Second series) 17, 9–16 (1994)

    MATH  Google Scholar 

  6. Dutta, T.K., Sardar, S.K.: Semiprime ideals and irreducible ideals of \(\Gamma \)-semiring. Novi Sad J. Math. 30(1), 97–108 (2000)

    MathSciNet  MATH  Google Scholar 

  7. Gau, W.L., Buehrer, D.J.: Vague Sets. IEEE Trans. Syst. Man Cybern. 23(2), 610–613 (1993)

    Article  MATH  Google Scholar 

  8. Rao, M.K.: \(\Gamma \)-semiring1. Southeast Asian Bull Math. 19, 49–54 (1995)

    MathSciNet  Google Scholar 

  9. Sardar, S.K., Goswami, S.: Role of operator semirings in characterizing \(\Gamma \)-semirings in terms of fuzzy subsets. arXiv:1101.4807v1 [math.GM] 25 Jan (2011)

  10. Sardar, S.K., Goswami, S.: Fuzzy prime ideals of \(\Gamma \)-semirings. Cal. Math. Soc. 102(6), 499–504 (2010)

    MathSciNet  MATH  Google Scholar 

  11. Sardar, S.K., Goswami, S.: Fuzzy semiprime ideals and fuzzy irreducible ideals of \(\Gamma \)-semirings. Ann. Fuzzy Math. Inform. 2(1), 33–48 (2011)

    MathSciNet  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

Download references

Acknowledgements

The authors are grateful to Prof. K.L.N.Swamy for his valuable suggestions and discussions on this work.

Author information

Authors and Affiliations

  1. Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, Andhra Pradesh, 522502, India

    Y. Bhargavi & T. Eswarlal

Authors
  1. Y. Bhargavi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Eswarlal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. Bhargavi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bhargavi, Y., Eswarlal, T. Vague semiprime ideals of a \(\Gamma \)-semiring. Afr. Mat. 29, 425–434 (2018). https://doi.org/10.1007/s13370-018-0551-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-018-0551-y

Keywords

Mathematics Subject Classification

Search

Navigation