N-soft set introduced by Fatimah et al. [10] is the extension of soft set introduced by Molodtsov [30]. Soft set and N-soft set are important mathematical models for binary and non-binary evaluations respectively. In this article, we introduce some fundamental operations on N-soft set and the notion of N-soft topology. We introduce certain properties of N-soft topology including N-soft interior, N-soft exterior, N-soft closure, N-soft basis, N-soft frontier and their related results. We also present some illustrations to explain these concepts. Furthermore, we present multi-criteria group decision-making methods by using N-soft set and N-soft topology to deal with uncertainties in the real world problems.
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