International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3824 2020 2020 Department of Mathematics, College of Education, University of Sumer, Iraq Dheargham Dheargham Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq Audy Hatim Saheb Department of Mathematics, College of Education, University of Sumer, Iraq Rasheed Al Al-Salih Department of Mathematics, College of Education, University of Sumer, Iraq Mohammed Hadi Lafta In this research, we introduce and develop new concepts in the field of Neutrosophic Topology (NCT). Particularly our study is focusing on the filter and its properties. Also, we present the properties of convergence of -filter, a specialized filter that incorporates neutrosophic values, providing a robust approach to handle uncertainty in topological spaces. Additionally, we explore the concept of adherent points in neutrosophic crisp triple topological spaces, offering a new perspective on the study of these spaces. Moreover, our findings contribute to expanding the understanding and application of neutrosophic theories in topology that will provide a solid foundation for future research in this area. Furthermore, this work opens new avenues for the study of topological spaces under uncertainty, with potential Applications in various domains, including data analysis, decision-making, and artificial intelligence, among others. 2025 2025 331 338 10.54216/IJNS.260324 https://www.americaspg.com/articleinfo/21/show/3824