aspg-21-3250-1791475457 20261008160417 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Brahim Ziane Laboratoire de Math´ematiques et Physique Appliqu´ees, ´E cole Normale Sup´erieure de Bousaada 28001, Algeria Soheyb Milles Department of Mathematics, Institute of Science, University Center of Barika, Algeria In this paper, we explore the theoretical foundations of neutrosophics type-2 fuzzy sets by investigating its algebraic properties, demonstrating how neutrosophics type-2 fuzzy sets can generalize and extend existing operations in Type-1 and traditional Type-2 fuzzy sets. We also provide illustrative examples to clarify the practical applications of these operations, showcasing the potential of neutrosophics type-2 fuzzy sets in areas requiring sophisticated decision-making tools and uncertainty management. 2025 144 154 3250 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250314 https://www.americaspg.com/journal/21/article/3250 https://www.americaspg.com/storage/51729541340.pdf