A NEW APPROACH TO N-SOFT TOPOLOGICAL STRUCTURES

Abstract

We 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.