Open Access
Research Article
On some fuzzy ideal of S_weakly Ƴ_regular of semi_groups
Samah H. Asaadsamah1989@tu.edu.iqDepartment of Mathematics College of Education-Tuzkhurmatu Tikrit UniversityTikrit, IraqView full profile → , *Ali Al-FayadhCorresponding authoraalfayadh@yahoo.comDepartment of Mathematics and Computer Applications College of Science Al–Nahrain UniversityBaghdad, 10072, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 02 Jun 2025
- Published Online:
- 09 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2384
- Pages:
- 1435–1440
Abstract
This article introduces some fuzzy ideal of S_weakly Ƴ_regular of semi_groups, and we have characterized of a S_weakly Ƴ_regular semi_groups using properties for fuzzy_left and fuzzy_right_ideals of some natural examples of semi_groups. Furthermore, a basic properties and characterizations of the fuzzy_ideals(right, left, two sided, quasi, interior, bi_generalized_bi, and (1, 2)) of a S_weakly Ƴ_semi_group have been investigated.
Keywords
Subject Classifications
05C0705C09
References
[1] A. S. Mohammed, S. H. Asaad, and I. S. Ahmed, “New properties of strongly regular left almost semigroups,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 2, pp. 615–622 (2022), doi: 10.1080/09720529.2021.1982491.
[2] I. S. Ahmed, A. Al-Fayadh, H. H. Ebrahim, and L. S. Abdalbaqi, “Implementation of the neutrosophic sets in measurable space with respect to neutrosophic ring,” International Journal of Neutrosophic Science, vol. 25, no. 3, pp. 187–193 (2025), doi: 10.54216/IJNS.250317.
[3] S. H. Asaad, I. S. Ahmed, and H. H. Ebrahim, “On finitely null-additive and finitely weakly null-additive relative to the σ-ring,” Baghdad Science Journal, vol. 19, no. 5, Art. no. 3 (2022), doi: 10.21123/bsj.2022.5771.
[4] I. S. Ahmed, A. Al-Fayadh, and H. H. Ebrahim, “Fuzzy σ-algebra and some related concepts,” in AIP Conference Proceedings, vol. 2834, no. 1 (2023), doi: 10.1063/5.0162037.
[5] A. R. S. Juma, A. Al-Fayadh, S. P. Vijayalakshmi, and T. V. Sudharsan, “Upper bound on the third Hankel determinant for the class of univalent functions using an integral operator,” Afrika Matematika, vol. 33, no. 2, Art. no. 56 (2022).
[6] S. H. Assad and A. S. Mohammed, “New properties of Ƴ-regular LA-semigroups and related concepts,” in AIP Conference Proceedings, vol. 2845, no. 1, Art. no. 060023 (2023).
[7] S. M. Hong, Y. B. Jun, and J. Meng, “Intuitionistic fuzzy interior ideals in semigroups,” Indian Journal of Pure and Applied Mathematics, vol. 26, no. 9, pp. 859–863 (1995).
[8] N. Kehayopulu and M. Tsingelis, “Fuzzy sets in ordered groupoids and semigroups,” Information Sciences, vol. 65, pp. 128–132 (2002).
[9] N. Kehayopulu and M. Tsingelis, “Fuzzy bi-ideals in ordered semigroups,” Information Sciences, vol. 171, pp. 13–28 (2005).
[10] M. Khan and T. Asif, “Characterizations of semigroups by their anti-fuzzy ideals,” Journal of Mathematics Research, vol. 2, no. 3, pp. 134–143 (2010).
[11] J. N. Mordeson, D. S. Malik, and N. Kuroki, Fuzzy Semigroups. Berlin, Germany: Springer-Verlag (2003).
[12] N. Kuroki, “On fuzzy ideals and fuzzy bi-ideals in semigroups,” Fuzzy Sets and Systems, vol. 5, pp. 203–215 (1981).
[13] M. Shabir and Y. Nawaz, “Semigroups characterized by the properties of their anti-fuzzy ideals,” Journal of Advanced Research in Pure Mathematics, vol. 1, no. 3, pp. 42–59 (2009).
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