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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 8

Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings

Sanem Yavuz
Serkan Onar(Yildiz Technical University)0000-0003-3084-7694
Deniz Sönmez(Yildiz Technical University)
Bayram Ali Ersoy(Yildiz Technical University)
Gürsel Yeşilot(Yildiz Technical University)
Pages
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Publication Date
2018-06-30
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we give a diagram of transition between definitions of intuitionistic fuzzy 2- absorbing primary ideals of commutative rings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to give a definition of intuitionistic fuzzy 2- absorbing primary ideal and intuitionistic fuzzy weakly completely 2- absorbing primary ideals of commutative rings and to give their prop erties.
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Key Findings & Data:The aim of this paper is to give a definition of intuitionistic fuzzy 2- absorbing primary ideal and intuitionistic fuzzy weakly completely 2- absorbing primary ideals of commutative rings and to give their prop erties.
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Conclusion & Impact:Moreover, we give a diagram of transition between definitions of intuitionistic fuzzy 2- absorbing primary ideals of commutative rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:2-Absorbing Ideal · Intuitionistic Fuzzy 2- Absorbing Primary Ideal · Intuitionistic Fuzzy Weakly Completely 2- Absorbing Primary Ideal

Abstract

The aim of this paper is to give a definition of intuitionistic fuzzy 2- absorbing primary ideal and intuitionistic fuzzy weakly completely 2- absorbing primary ideals of commutative rings and to give their prop erties. Moreover, we give a diagram of transition between definitions of intuitionistic fuzzy 2- absorbing primary ideals of commutative rings.

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Cite This Article

Yavuz, S., Onar, S., Sönmez, D., Ersoy, B. A., Yeşilot, G. (2018). Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings. Turkish Journal of Mathematics and Computer Science, Volume: 8. https://ajindex.com/articles/1324951

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References (22)

  1. Anderson, D. F., Badawi, A., On n- absorbing ideals of commutative rings, Comm. Algebra, 39(2011), 1646-1672.
  2. Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.
  3. Badawi, A., On 2- absorbing ideals of commutative rings, Bull. Austral. Math. Soc., 75(2007), 417-429.
  4. Badawi, A., Darani, A. Y., On weakly 2-absorbing ideals of commutative rings, Houston Math., 39(2013), 441-452.
  5. Badawi, A., Tekir, U., Yetkin, E., On 2- absorbing primary ideals in commutative rings, Bull. Austral. Math. Soc., 51(2014), 1163-1173.
  6. Bakhadach, I., Melliani, S., Oukessou, M., Chadli, L. S., Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring, Intuitionistic Fuzzy Sets (ICIFSTA), 22(2)(2016), 59-63.
  7. Darani, A. Y., On L- fuzzy 2- absorbing ideals, Italian J. of Pure and Appl. Math., 36(2016), 147-154.
  8. Darani, A. Y., Hashempoor, A., L-fuzzy 0-(1-or 2-or 3-) 2-absorbing ideals in semiring, Annals of Fuzzy Math. and Inform., 7(2014), 303-311.
  9. Darani, A. Y., Puczylowski, E. R., On 2-absorbing commutative semigroups and their applications to rings, Semigroup Forum, 86(2013), 83-91.
  10. Hur, K., Kang, H. W., Song, H. K., Intuitionistic fuzzy subgroups and subrings, Honam Math J., 25(2003), 19-41.
  11. Kumar, P., Dubey, M. K., Sarohe, P., Some results on 2-absorbing ideals in commutative semirings, J.Math and Application, 38(2015), 77-84.
  12. Liu, W. J., Operation on fuzzy ideals, Fuzzy Sets and Systems, 11(1983), 31-4.
  13. Marasdeh, M. F., Salleh A. R., Intuitionistic fuzzy rings, International Journal of Algebra, 5(2011), 37-47.
  14. Mukherjee, T. K., Sen, M. K., Operation on fuzzy ideals, Fuzzy Sets and Systems, 32(1989), 337-341.
  15. Mukherjee, T. K., Sen, M. K., Primary fuzzy ideals and radical of fuzzy ideals, Fuzzy Sets and Systems, 56(1993), 97-101.
  16. Palanivelrajan, M., Nandakumar, S., Some properties of intuitionistic fuzzy primary and semiprimary ideals, Notes on Intuitionistic Fuzzy Sets, 18(2012), 68-74.
  17. Rossenfeld, A., Fuzzy groups, J. Math. Anal. Appl., 35(1971), 512-517.
  18. Sharma, P. K., Translates of intuitionistic fuzzy subring, International Review of Fuzzy Mathematics, 6(2)(2011), 77-84.
  19. Sidky, L. I., Khatab, S. A., Nil radical of fuzzy ideal, Fuzzy Sets and Systems, 47(1992), 117-120.
  20. Sonmez, D., Yesilot, G., Onar, S., Ersoy, B. A., Davvaz, B., On 2-absorbing primary fuzzy ideals of commutative rings, Mathematical Problems In Engineering, ID:5485839(2017).
  21. Yavuz, S., Onar, S., Ersoy, B. A., Sonmez, D., Intuitionistic fuzzy 2-absorbing ideals of commutative rings, Journal of Hyperstructures, 2017.
  22. Zadeh, L., Fuzzy sets, Inform. and Control, 8(1965), 338-353. 1