In the many approaches to soft set theory, the theory of N-soft topological space is a key component of studying topology. The notions of soft mapping in N-soft topological space as well as a novel notion of N-soft continuous mapping, N-soft quotient mapping, and N-soft quotient topology are discussed in this article. We also look at some of its traits and outcomes. It will give the foundation for real-world applications in this subject.
This paper aims to introduce the concept of nano α- derived set and study the characteristics of nano α- derived set. Further, we investigate the different forms of nano α- derived set using lower and upper approximation.
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