Cubic bipolar 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 →
* 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-2026
- Pages:
- 1007–1013
Abstract
Keywords
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References
[1] N. A. AL-Seraji and H. L. Ajaj, “Cubic arcs in the projective plane over a finite field of order 16,” Iraqi Journal of Science, vol. 59, no. 3B, pp. 1453–1479 (2018).
[2] A. Al-Quran, N. Jamil, S. T. Tehrim, and M. Riaz, “Cubic bipolar fuzzy VIKOR and ELECTRE-II algorithms for efficient freight transportation in Industry 4.0,” AIMS Mathematics, vol. 8, no. 10, pp. 24484–24514 (2023).
[3] E. B. Al-Zangana, “Classification of elliptic cubic curves over the finite field of order nineteen,” Baghdad Science Journal, vol. 13, no. 4, pp. 846–852 (2016).
[4] A. Farooq, M. Nabeel, and G. Ali, “New MCDM applications using cubic bipolar fuzzy model in medicine and engineering,” Soft Computing (2023).
[5] A. Fahmi, F. Amin, S. Abdullah, and A. Ali, “Cubic fuzzy Einstein aggregation operators and its application to decision-making,” International Journal of Systems Science, vol. 49, no. 11, pp. 2385–2397 (2018).
[6] F. M. Ghlaim and F. F. Kareem, “Cubic ideals of TM-algebras,” Ibn Al-Haitham Journal for Pure and Applied Sciences, vol. 36, no. 1, pp. 367–379 (2023).
[7] F. M. Ghlaim and F. F. Kareem, “Interval-valued fuzzy ideals of TM-algebra,” Journal of Interdisciplinary Mathematics, vol. 26, no. 5, pp. 925–930 (2023).
[8] A. T. Hameed, S. H. Ali, and R. A. Flayyih, “The bipolar-valued fuzzy ideals on AT-algebra,” Journal of Physics: Conference Series, vol. 1818, p. 012076 (2021).
[9] A. T. Hameed and S. A. A. Jasim, “On the bifuzzy ideals of RG-algebra,” Journal of Kufa for Mathematics and Computer, vol. 11, no. 1, pp. 112–120 (2024).
[10] 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. 44, no. 2, pp. 239–250 (2010).
[11] K. M. Lee, “Bipolar-valued fuzzy sets and their operations,” in Proceedings of the International Conference on Intelligent Technologies, Bangkok, Thailand, pp. 307–312 (2000).
[12] 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).
[13] J. Lu, L. Zhu, and W. Gao, “Remarks on bipolar cubic fuzzy graphs and its chemical applications,” International Journal of Mathematics and Computer in Engineering, vol. 1, pp. 1–10 (2023).
[14] K. Megalai and A. Tamilarasi, “Classification of TM-algebra,” in Computer Aided Soft Computing Techniques for Imaging and Biomedical Applications (2010).
[15] G. Muhiuddin, “Bipolar fuzzy KU-subalgebra/ideals of KU-algebras,” Fuzzy Mathematics and Informatics, vol. 8, no. 3, pp. 409–418 (2014).
[16] M. Riaz and S. Tehrim, “Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data,” Computational and Applied Mathematics, pp. 38–87 (2019).




