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Pure Mathematics for Theoretical Computer Science

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Pure Mathematics for Theoretical Computer Science
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Volume 3 • Issue 1 • PP: 15-19 • 2024

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

Murat Ozcek 1*
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1Gaziantep University, Department of Mathematics, Gaziantep, Turkey
* Corresponding Author.
DOI https://doi.org/10.54216/PMTCS.030102
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

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[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.

 

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Ozcek, Murat. "On The Anti Fuzzy k-Ideals of Ternary Semi-rings." Pure Mathematics for Theoretical Computer Science, vol. Volume 3, no. Issue 1, 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, Volume 3(Issue 1), 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 Volume 3, no. Issue 1 (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, Volume 3(Issue 1), pp. 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. 2024;Volume 3(Issue 1):15-19. DOI: https://doi.org/10.54216/PMTCS.030102
M. Ozcek, "On The Anti Fuzzy k-Ideals of Ternary Semi-rings," Pure Mathematics for Theoretical Computer Science, vol. Volume 3, no. Issue 1, pp. 15-19, 2024. DOI: https://doi.org/10.54216/PMTCS.030102
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