Demir, IzzettinOkurer, Merve2024-08-232024-08-2320230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.1789https://hdl.handle.net/20.500.12684/14043We study the topological structure of N-soft sets given by Riaz et al. (J. Intell. Fuzzy Syst. 36:6 (2019), 6521-6536). Firstly, we redefine N-soft closed sets using the complement operation of N-soft sets proposed in (Math. Methods Appl. Sci. 44:8 (2021), 7343-7358) and investigate their basic properties. Then, we introduce the concept of an N-soft continuous mapping and also obtain the initial N-soft topology determined by a family of N-soft mappings. Furthermore, we establish a new concept of N-soft topological subspace and analyze some related properties of this concept. Finally, we present some examples to better understand the defined concepts.en10.1216/rmj.2023.53.1789info:eu-repo/semantics/closedAccessN-soft setN-soft topologyN-soft continuityN-soft closureinitial N-soft topologyN-soft subspaceSetsDecisionModelArticle536178918052-s2.0-85181491824WOS:001133012400016Q2Q2