1
Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
(aiyared.ia@up.ac.th)
2
Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
(nrajesh topology@yahoo.co.in)
3
Department of Mathematics, Government Arts College for Women, Orathanadu-614625, Tamilnadu, India
(brindamithunraj@gmail.com)
Abstract :
In this paper, the notions of neutrosophic subalgebras, neutrosophic ideals, and neutrosophic deductive systems of Hilbert algebras are introduced, and some related properties are investigated. Relations between the notions are given. Finally, we study the properties of homomorphism of Hilbert algebras.
Keywords :
Hilbert algebra; neutrosophic subalgebra; neutrosophic ideal; neutrosophic deductive system.
References :
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| Style | # |
|---|---|
| MLA | Aiyared Iampan, N. Rajesh, B. Brundha. "Neutrosophic set theory applied to Hilbert algebras." International Journal of Neutrosophic Science, Vol. 21, No. 4, 2023 ,PP. 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |
| APA | Aiyared Iampan, N. Rajesh, B. Brundha. (2023). Neutrosophic set theory applied to Hilbert algebras. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |
| Chicago | Aiyared Iampan, N. Rajesh, B. Brundha. "Neutrosophic set theory applied to Hilbert algebras." Journal of International Journal of Neutrosophic Science, 21 no. 4 (2023): 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |
| Harvard | Aiyared Iampan, N. Rajesh, B. Brundha. (2023). Neutrosophic set theory applied to Hilbert algebras. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |
| Vancouver | Aiyared Iampan, N. Rajesh, B. Brundha. Neutrosophic set theory applied to Hilbert algebras. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 4 ): 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |
| IEEE | Aiyared Iampan, N. Rajesh, B. Brundha, Neutrosophic set theory applied to Hilbert algebras, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 4 , (2023) : 84-93 (Doi : https://doi.org/10.54216/IJNS.210409) |