International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3250 2020 2020 Laboratoire de Math´ematiques et Physique Appliqu´ees, ´E cole Normale Sup´erieure de Bousaada 28001, Algeria Brahim Brahim Department of Mathematics, Institute of Science, University Center of Barika, Algeria Soheyb Milles 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 2025 144 154 10.54216/IJNS.250314 https://www.americaspg.com/articleinfo/21/show/3250