On Neutrosophic Soft Generalized Semi-Mappings and Their
Topological Properties
Alkan ¨Ozkan1,∗, Florentin Smarandache2, S¸ eyda Yazgan3, Salem Saleh4, Ebru Yes¸il5
1Department of Mathematics, Faculty of Arts and Sciences, I˘gdır University, I˘gdır, 76000, Turkey
2University of New Mexico, Mathematics, Physics and Natural Sciences Division 705 Gurley Ave., Gallup,
NM 87301, USA
3TUB˙ITAK Science High School, Kocaeli, Turkey
4Department of Mathematics, Hodeidah University, Hodeidah, Yemen
5Department of Mathematics, Faculty of Arts and Sciences, I˘gdır University, I˘gdır, 76000, Turkey Emails:
alkan.ozkan@igdir.edu.tr; smarand@unm.edu; seydayazgan@hotmail.com; drsalemwosabi@gmail.com;
ebru.alagoz@icloud.com
Abstract
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 neu-
trosophic 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 general-
ized semi-closure and semi-interior operators are also formulated, and their principal algebraic and topolog-
ical characteristics are derived. These developments generalize and unify several existing notions in classi-
cal, 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 trans-
formations. The findings not only extend the theoretical foundations of NST but also open potential directions
for modeling and analyzing uncertainty in advanced topological systems.
Keywords: Neutrosophic soft set; Neutrosophic soft semi closed set; Neutrosophic soft generalized semi
closed set; Neutrosophic soft generalized semi closed mapping; Neutrosophic soft generalized semi-continuous
mapping