Study the new generalization of fuzzy s-algebra namely fuzzy P*-algebra
*Ibrahim S. AhmedCorresponding authoribrahim1992@tu.edu.iqDepartment of PhysicsCollege of Education-TuzkhurmatuTikrit UniversitySalahaddin, IraqView full profile → , Hind F. Abbashind.f.abbas35386@st.tu.edu.iqDirectorate General of Education Salahaddin, Ministry of EducationSalahaddin, IraqView full profile → , Samah H. Asaadsamah1989@tu.edu.iqDepartment of PhysicsCollege of Education-TuzkhurmatuTikrit UniversitySalahaddin, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 17 Jul 2024
- Published Online:
- 26 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2037
- Pages:
- 1097–1103
Abstract
Keywords
Subject Classifications
References
[1] A. S. Mohammed, S. H. Asaad, and I. S. Ahmed, “New properties of strongly regular left almost semi-group,” J. Discret. Math. Sci. Cryptogr., vol. 25, no. 2, pp. 615–622 (2022), doi: 10.1080/09720529.2021.1982491.
[2] R. B. ASH, Real Analysis and Probability, 1st ed. ACADEMIC PRESS, INC.(LONDON) LTD. (1972).
[3] P. R. Halmos, Measure Theory, 1st ed. Springer-VerlagNewYork-Heidelberg-Berlin (1974).
[4] L. Zadeh, “Fuzzy Sets,” Information and Control, vol. 8. pp. 338–353 (1965).
[5] I. S. Ahmed, A. Al-Fayadh, and H. H. Ebrahim, “Fuzzy σ-algebra and some related concepts,” AIP Conf. Proc., vol. 2834, no. 1 (2023), doi: 10.1063/5.0162037.
[6] H. F. Abbas, H. H. Ebrahim, and A. Al-Fayadh, “Soft P *–field and some of its properties,” J. Discret. Math. Sci. Cryptogr., vol. 26, no. 7, pp. 1875–1882 (2023), doi: 10.47974/JDMSC-1677.
[7] D. Dubois, H. T. Nguyen, and H. Prade, “Probability and Fuzzy Sets,” vol. 40, no. January, pp. 135–154 (1989).
[8] J. G. Brown, “A note on fuzzy sets,” Inf. Control, vol. 18, no. 1, pp. 32–39 (1971), doi: 10.1016/S0019-9958(71)90288-9.
[9] Z. Wang and G. J. Klir, Fuzzy Measure Theory-. Springer Science and Business Media, LLC (1995).
[10] G. Chen and T. T. Pham, Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems. CRC Press, LLC (2001).
[11] H. J. Zimmermann, Fuzzy Set Theory and Its Applications. Springer Science and Business Media, LLC (2001).
[12] T. E. Sunday, R. D. Kamga, S. Fotso, and L. A. Fono, “Difference and symmetric difference for intuitionistic fuzzy sets,” Notes Intuitionistic Fuzzy Sets, vol. 24, no. 4, pp. 113–140 (2018), doi: 10.7546/nifs.2018.24.4.113-140.
[13] I. S. Ahmed and H. H. Ebrahim, “On measure relatively to fuzzy σ-algebra,” J. Phys. Conf. Ser., vol. 2322, no. 1 (2022), doi: 10.1088/1742-6596/2322/1/012020.
[14] I. S. Ahmed, H. H. Ebrahim, and A. Al-Fayadh, “Study of Fuzzy σ-Ring and Some Related Concepts,” Ibn AL- Haitham J. Pure Appl. Sci., vol. 35, no. 2, pp. 37–46 (2022), doi: 10.30526/35.2.2767.
[15] M. M. Abbood, H. H. Ebrahim, A. Al-Fayadh, and A. J. Obaid, “Measure defined on Γ-algebra and some of their generalizations,” J. Interdiscip. Math., vol. 26, no. 5, pp. 821–827 (2023), doi: 10.47974/JIM-1502.




