Complex fuzzy ideals which coincide in Γ-semigroups
Pannawit Khamrotpk_g@rmutl.ac.thDepartment of Mathematics Faculty of Science and Agricultural Technology Rajamangala University of Technology LannaPhitsanulok, 65000, Thailand0000-0003-4379-881XView full profile → , *Thiti GaketemCorresponding authorthiti.ga@up.ac.thDepartment of Mathematics School of Science University of Phayao Mae Ka, Mueang, Phayao, 56000, Thailand0000-0002-6267-8517View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 16 Jul 2024
- Published Online:
- 16 Oct 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2223
- Pages:
- 2827–2848
Abstract
Keywords
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References
[1] A. Al-Husban, A. Amourah and J.J.Jaber, Bipolar complex fuzzy sets and their properties, Italian Journal of Pure and Applied Mathematics, vol. 43, 754-761 (2020).
[2] A. Al-Husban and B. Davvaz, Complex fuzzy Hv-subgrous of Hv-group, Iranian Journal of Fuzzy Systems, vol. 17, no. 3, pp. 177-186 (2020), https://doi.org/10.1063/1.4937059.
[3] A. Al-Husban and A. R. Salleh, Complex fuzzy group based on complex fuzzy space, Global Journal of Pure and Applied Mathematics, vol. 12, pp.1433-1450 (2016), https://doi.org/10.1063/1.4937059.
[4] S. Baupradist, B. Chemat, K. Palanivel, and R. Chinram, “Essential ideals and essential fuzzy ideals in semigroups,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 1, pp. 223–233 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2020.1816643
[5] TK. Dutta, SK. Sardar and SK. Majumder, Fuzzy ideal extensions of Γ-semigroups via its operator semigroup, International Journal of Contemporary Mathematical Science, vol. 4, no. 30, 1455-1463 (2009).
[6] B. Hu, L. Bi and S. Dai, The orthogonality between complex fuzzy Sets and its application to signal detection, Symmetry, vol. 9 (2017), https://doi:10.3390/sym9090175.
[7] N. Kaopusek, T. Kaewnoi, and R. Chinram, “On almost interior ideals and weakly almost interior ideals of semigroups,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 23, no. 3, pp. 773–778 (2020). [Online]. Available: https://doi.org/10.1080/09720529.2019.1696917
[8] P. Khamrot, A. Iampan and T. Gaketem, Bipolar complex fuzzy interior ideals in semigroups, IAENG International Journal of Applied Mathematics, vol. 54, no. 6, 1110-1116 (2024).
[9] T. Kumar and R. K. Bajaj, On complex intuitionistic fuzzy soft sets with distance measures and entropies, Journal of mathematics, Volume 2014, Article ID 972198, https://doi.org/10.1155/2014/972198.
[10] N. Kuroki, “Fuzzy bi-ideals in semigroups,” Comment. Math. Univ. St. Pauli, vol. 28, pp. 17–21 (1979).
[11] D. E. Tamir, L. Jin and A. Kandel, A new interpretation of complex membership grade, International Journal of Intelligent systems, vol. 26, pp. 285-312 (2011). https://doi.org/10.1002/int.20454.
[12] T. Mahmood, U. Rehman and M. Albaity, Analysis of Γ-semigroups based on bipolar complex fuzzy sets, Computational and Applied Mathematics, vol. 42, no. 6, pp. 1-15 (2023), https://doi.org/10.1007/s40314-023-02376-w.
[13] S. K. Majumder and P. Das, Complex fuzzy interior ideals of semigroups, Uzbek Mathematical Journal, vol. 67, no. 1, pp. 72-78 (2023).
[14] J. N. Mordeson, D. S. Malik, and N. Kuroki, Fuzzy semigroup, Springer Science and Business Media (2003).
[15] D. Ramot, R. Milo, M. Friedman and A. Kandel, Complex fuzzy sets, IEEE Transactions on Fuzzy Systems, vol. 10, pp. 171-186 (2000), https://doi.org/10.1109/91.995119.
[16] U. Rehman, T. Mahmood and M. Naeen, Bipolar complex fuzzy semigroups, AIMS mathematics, vol. 8, no. 2, pp.3997-4021 (2022).
[17] L.A. Zadeh, Fuzzy sets, Information and Control, vol. 8, pp. 338-353 (1965).
