International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/4189 2020 2020 On Neutrosophic Soft Generalized Semi-Mappings and Their Topological Properties Department of Mathematics, Faculty of Arts and Sciences, I˘gdır University, I˘gdır, 76000, Turkey Alkan Alkan University of New Mexico, Mathematics, Physics and Natural Sciences Division 705 Gurley Ave., Gallup, NM 87301, USA Florentin Smarandache TUB˙ITAK Science High School, Kocaeli, Turkey ٍSeyda Yazgan Department of Mathematics, Hodeidah University, Hodeidah, Yemen Salem Saleh Department of Mathematics, Faculty of Arts and Sciences, I˘gdır University, I˘gdır, 76000, Turkey Ebru Yesil This paper introduces and systematically studies new classes of mappings and set-theoretic structures in the context of neutrosophic soft topological structures. In particular, this study introduces and examines neutrosophic soft semi closed and semi open sets, generalized semi-mappings, and semi-continuous generalized mappings, highlighting their interrelationships and key topological properties The neutrosophic soft generalized semi-closure and semi-interior operators are also formulated, and their principal algebraic and topological characteristics are derived. These developments generalize and unify several existing notions in classical, fuzzy, and neutrosophic soft topologies. Unlike previous studies, this work provides a comprehensive mapping-based approach that clarifies how generalized semi-properties behave under neutrosophic soft transformations. The findings not only extend the theoretical foundations of NST but also open potential directions for modeling and analyzing uncertainty in advanced topological systems. 2025 2025 327 347 10.54216/IJNS.260428 https://www.americaspg.com/articleinfo/21/show/4189