1
MathematicsDepartment, Acharya Nagarjuna University, Nagarjuna Nagar, India
(drbsn63@yahoo.co.in)
2
BS & H Department, SR Gudlavalleru Engineering College, Gudlavalleru, India
(rajanipapers@gmail.com)
3
Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaih Educational Foundation, Vaddeswaram-522302, Guntur(DT), Andhra Pradesh, India
(ram.fuzzy@gmail.com)
4
Faculty of Information Systems and Computer Science, October 6th University, Giza, 12585, Egypt
(aahafeez.scis@o6u.edu.eg)
5
Faculty of Informatics, Midocean University by Everyone's Smart University, 3999, Fujairah, United Arab Emirates
(abdelrhman.refaat@midocean.ae)
6
Faculty of Information Systems and Computer Science, October 6th University, Giza, 12585, Egypt; Faculty of Informatics, Midocean University by Everyone's Smart University, 3999, Fujairah, United Arab Emirates
(Kmensh.csis@o6u.edu.eg)
Abstract :
The foundational concepts of subalgebra, ideal, and homomorphism within the domain of BF-algebra were originally introduced by Andrzej Walendziak [A. Walendziak, On BF-Algebras, Math. Slovaca, 57(2) (2007), 119-128]. In this paper, we introduce innovative concepts related to Neutrosophic BF-Subalgebras and Neutrosophic BF-Ideals derived from the application of Subalgebra, Ideal, and Homomorphism principles to Neutrosophic sets. We explore the outcomes concerning a Neutrosophic BF-Ideal with respect to principle of homomorphism, homomorphic image of a Neutrosophic BF-Ideal satisfying the sup-inf property, and homomorphic pre-images within the context of a Neutrosophic set embedded in BF-algebra. The outcomes of the above study are equally applicable to Neutrosophic BF-Subalgebra Lastly, we delve into the conceptual understanding of a level set of a Neutrosophic BF-Ideal within a BF-algebra. In the future, the above study can be extended to address various types of implicative ideals and filters within BF-algebra. Moreover, these Neutrosophic BF-Subalgebras and Neutrosophic BF-Ideals can be applied to neutrosophic soft sets within the context of BF-algebra, which are used for various decision making techniques.
Keywords :
BF-algebra; Ideals; Subalgebras; Homomorphism; Neutrosophic BF-Subalgebra; Neutrosophic BF-Ideal.
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| Style | # |
|---|---|
| MLA | Satyanarayana B. , Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy. "Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |
| APA | Satyanarayana B. , Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy. (2024). Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |
| Chicago | Satyanarayana B. , Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy. "Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |
| Harvard | Satyanarayana B. , Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy. (2024). Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |
| Vancouver | Satyanarayana B. , Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy. Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |
| IEEE | Satyanarayana B., Rajani P., Ramesh D., Ahmed Abdelhafeez, Abdelrhman Refaat, Khaled ELMenshawy, Unveiling Neutrosophic Dimensions in the context of BF-algebras: Investigating Subalgebras, Ideals, and Homomorphisms, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 156-173 (Doi : https://doi.org/10.54216/IJNS.230213) |