Research Article

Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings

Volume: 8 June 30, 2018
EN

Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings

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

Keywords

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Sanem Yavuz This is me
Türkiye

Serkan Onar *
Yildiz Technical University
0000-0003-3084-7694
Türkiye

Deniz Sönmez This is me
Yildiz Technical University
Türkiye

Bayram Ali Ersoy
Yildiz Technical University
Türkiye

Gürsel Yeşilot
Yildiz Technical University
Türkiye

Publication Date

June 30, 2018

Submission Date

February 16, 2018

Acceptance Date

April 14, 2018

Published in Issue

Year 2018 Volume: 8

APA
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, 8, 37-48. https://izlik.org/JA99MC34DD
AMA
1.Yavuz S, Onar S, Sönmez D, Ersoy BA, Yeşilot G. Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings. TJMCS. 2018;8:37-48. https://izlik.org/JA99MC34DD
Chicago
Yavuz, Sanem, Serkan Onar, Deniz Sönmez, Bayram Ali Ersoy, and Gürsel Yeşilot. 2018. “Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings”. Turkish Journal of Mathematics and Computer Science 8 (June): 37-48. https://izlik.org/JA99MC34DD.
EndNote
Yavuz S, Onar S, Sönmez D, Ersoy BA, Yeşilot G (June 1, 2018) Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings. Turkish Journal of Mathematics and Computer Science 8 37–48.
IEEE
[1]S. Yavuz, S. Onar, D. Sönmez, B. A. Ersoy, and G. Yeşilot, “Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings”, TJMCS, vol. 8, pp. 37–48, June 2018, [Online]. Available: https://izlik.org/JA99MC34DD
ISNAD
Yavuz, Sanem - Onar, Serkan - Sönmez, Deniz - Ersoy, Bayram Ali - Yeşilot, Gürsel. “Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings”. Turkish Journal of Mathematics and Computer Science 8 (June 1, 2018): 37-48. https://izlik.org/JA99MC34DD.
JAMA
1.Yavuz S, Onar S, Sönmez D, Ersoy BA, Yeşilot G. Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings. TJMCS. 2018;8:37–48.
MLA
Yavuz, Sanem, et al. “Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings”. Turkish Journal of Mathematics and Computer Science, vol. 8, June 2018, pp. 37-48, https://izlik.org/JA99MC34DD.
Vancouver
1.Sanem Yavuz, Serkan Onar, Deniz Sönmez, Bayram Ali Ersoy, Gürsel Yeşilot. Intuitionistic Fuzzy 2-Absorbing Primary Ideals of Commutative Rings. TJMCS [Internet]. 2018 Jun. 1;8:37-48. Available from: https://izlik.org/JA99MC34DD