aspg-21-1966-1791468655 20261008141055 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 21 4 Aiyared Iampan Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand N. Rajesh Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India B. Brundha Department of Mathematics, Government Arts College for Women, Orathanadu-614625, Tamilnadu, India 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. 2023 84 93 1966 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.210409 https://www.americaspg.com/journal/21/article/1966 https://www.americaspg.com/storage/81690573340.pdf