Volume 26 , Issue 4 , PP: 327-347, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Alkan Özkan 1 * , Florentin Smarandache 2 , ٍSeyda Yazgan 3 , Salem Saleh 4 , Ebru Yesil 5
Doi: https://doi.org/10.54216/IJNS.260428
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.
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
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