Cubic intuitionistic ideals of a TM-algebra
*Marwa Sh. HatemCorresponding authormarwa.hatem2203m@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Sciences (Ibn-Al-Haitham) University of BaghdadBaghdad, IraqView full profile → , Fatema F. Kareemfatma.f.k@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Sciences (Ibn-Al-Haitham) University of BaghdadBaghdad, IraqView full profile → , Bijan Davvazdavvaz@yazd.ac.irDepartment of Mathematics Sciences Faculty of Science Yazd University Yazd, 89158, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Jul 2024
- Published Online:
- 26 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2027
- Pages:
- 1081–1089
Abstract
Keywords
Subject Classifications
References
[1] K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, pp. 87-96 (1986).
[2] A. A. Atshan and S. M. Khalil, “On Complete Intuitionistic Fuzzy Roh-Ideals in Roh-Algebras,” Iraqi Journal of Science, vol. 64, no. 7, pp. 3458-3467 (2023).
[3] S. M. Ebrahim, “On Intuitionistic Fuzzy bi-Ideal With respect To an Element of a near Ring,” Iraqi Journal of Science, vol. 57, no. 3A, pp. 1806-1812 (2022).
[4] S. M. Ebrahem, “On intuitionistic Fuzzy Asly Ideal of Ring,” Ibn AL-Haitham Journal for Pure and Applied Sciences, vol. 33, no. 2, pp. 115-119 (2020).
[5] A. K. Hasan, “Zariski Topology of Intuitionistic Fuzzy d-filter,” Iraqi Journal of Science, vol. 63, no. 3, pp. 1208-1214 (2022).
[6] C. Janaa and T. Senapati, “Cubic G-subalgebras of G-algebras,” Annals of Pure and Applied Mathematics, vol. 10, no. 1, pp. 105-115 (2015).
[7] Y. B. Jun and K. H. Kim, “Intuitionistic fuzzy ideals of BCK-algebras,” Internat. J. Math and Math. Sci, vol. 24, no. 12, pp. 839-849 (2000).
[8] Y. B. Jun, C. S. Kim, and M. S. Kang, “Cubic subalgebras and ideals of BCK/BCI-algebras,” Far East Journal of Mathematical Sciences, vol. 2, no. 44, pp. 239-250 (2010).
[9] M. Kandasamy and T. Angamuthu, “On Intuitionistic Fuzzy T-ideals in TM-Algebra,” Communications in Computer and Information Science, vol. 260, pp. 328-335 (2011).
[10] F. F. Kareem and S. A. Talib, “Intuitionistic Fuzzy Ideals of KU-Semigroups,” Iraqi Journal of Science, Special Issue, pp. 1-10 (2020).
[11] J. G. Lee, K. Hur, and S. M. Mostafa, “Cubic bipolar structures of BCC-ideal on BCC-algebras,” Annals of Fuzzy Mathematics and Informatics, vol. 20, no. 1, pp. 89-103 (2020).
[12] K. Megalai and A. Tamilarasi, “Classification of TM-Algebra,” in Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications (2010).
[13] S. M. Mostafa and F. F. Kareem, “Intuitionistic fuzzy n-fold KU-ideal of KU-algebra,” Journal of Physics: Conference Series, vol. 1003, p. 012064 (2018).
[14] G. Muhiuddin, “Cubic Interior Ideals in Semigroups,” Applications and Applied Mathematics, vol. 14, no. 1, pp. 463-474 (2019).
[15] G. Muhiuddin and A. M. Al-roqi, “Cubic soft sets with applications in BCK/BCI-algebras,” Annals of Fuzzy Mathematics and Informatics, vol. 8, pp. 291-304 (2014).
[16] K. Taboon, P. Butsri, and A. Iampan, “A cubic set theory approach to UP-algebras,” Journal of Interdisciplinary Mathematics, vol. 23, no. 8, pp. 1449-1486 (2020).
[17] F. Tong and L. Guan, “Intuitionistic-distribution numbers,” Journal of Interdisciplinary Mathematics, vol. 12, no. 1, pp. 115-122 (2009).
[18] N. Yaqoob, S. M. Mostafa, and M. A. Ansari, “On cubic KU-ideals of KU-algebras,” ISRN Algebra, Article ID 935905, 10 pages (2013).




