Some properties of N-soft topological spaces

In this thesis, the topological structure of N-soft sets given by Riaz et al. [1] was further studied. Firstly, using the complement operation of N-soft sets proposed by Demir [2], N-soft closed sets were redefined and their basic properties were investigated. Then, the concept of an N-soft continuous mapping was introduced, and the relations between this mapping and an N-soft closed set were determined. Also, by a family of N-soft mappings, the initial N-soft topology was obtained. Furthermore, a new concept of N-soft topological subspace was established and some important properties of this concept were analyzed. Finally, to better understand the defined concepts, several examples were presented.