Pure Mathematics for Theoretical Computer Science

Journal DOI

https://doi.org/10.54216/PMTCS

Submit Your Paper

2995-3162ISSN (Online)

Volume 3 , Issue 1 , PP: 15-19, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On The Anti Fuzzy k-Ideals of Ternary Semi-rings

Murat Ozcek 1 *

  • 1 Gaziantep University, Department of Mathematics, Gaziantep, Turkey - (muratozcek.12@gmail.com)
  • Doi: https://doi.org/10.54216/PMTCS.030102

    Received: June 13, 2023 Revised: September 27, 2023 Accepted: December 18, 2023
    Abstract

    In this paper, we introduce the notion of anti fuzzy k-ideal of ternary semi ring and we study some of its elementary properties by many related theorems and proofs, with many illustrated examples that explain our work.

    Keywords :

    Fuzzy set , fuzzy ideal , ternary ring , semi-ring

    References

    [1] A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl. 35 (1971), 512-517

    [2] Chang Bum Kim and Mi-AePark,"kfuzzy ideals in semrings",Fuzzy set and systems ,v88,(1996)pp.281-286.

    [3] J.Kavikumar and Azme BinKhamis ,"fuzzy ideals and Quasi ideals in ternary semiging",LAENG Int.j.Math(2006).

    [4] L.A.Zadeh ,"Fuzzy sets", Inform. and controle,v8,(1965)pp.338-353.

    [5] R. Biswas, "Fuzzy subgroups ", Fuzzy Sets and Syst. 44(1990) 121-124.

    [6] S.Kar,"On quasi –ideals and bi-ideals in ternary semirings", International journal of mathematics and mathematical sciences (2005),3015-3023.

    [7] Sathinee Malee and Ronnason Chinram ,"k-fuzzy ideals of ternary
    semirings", International journal of computational and mathematical sciences, (2010).

    [8] T.K.Dutta and S.Kar, "On regular ternary semiring", Advances in Algebras, Proceedings of the ICM satellite Conference in Algebra and Related Topics, world scientific pupl, Singapore(2003)pp.205-213.

    [9] W.Liu,"Fuzzy invariant subgroups and fuzzy ideal", Fuzzy Sets and
    Systems,V8,(1982)pp.133-1394.

     

    Cite This Article As :
    Ozcek, Murat. On The Anti Fuzzy k-Ideals of Ternary Semi-rings. Pure Mathematics for Theoretical Computer Science, vol. , no. , 2024, pp. 15-19. DOI: https://doi.org/10.54216/PMTCS.030102
    Ozcek, M. (2024). On The Anti Fuzzy k-Ideals of Ternary Semi-rings. Pure Mathematics for Theoretical Computer Science, (), 15-19. DOI: https://doi.org/10.54216/PMTCS.030102
    Ozcek, Murat. On The Anti Fuzzy k-Ideals of Ternary Semi-rings. Pure Mathematics for Theoretical Computer Science , no. (2024): 15-19. DOI: https://doi.org/10.54216/PMTCS.030102
    Ozcek, M. (2024) . On The Anti Fuzzy k-Ideals of Ternary Semi-rings. Pure Mathematics for Theoretical Computer Science , () , 15-19 . DOI: https://doi.org/10.54216/PMTCS.030102
    Ozcek M. [2024]. On The Anti Fuzzy k-Ideals of Ternary Semi-rings. Pure Mathematics for Theoretical Computer Science. (): 15-19. DOI: https://doi.org/10.54216/PMTCS.030102
    Ozcek, M. "On The Anti Fuzzy k-Ideals of Ternary Semi-rings," Pure Mathematics for Theoretical Computer Science, vol. , no. , pp. 15-19, 2024. DOI: https://doi.org/10.54216/PMTCS.030102