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