Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [b] Department of Mathematics, Tokat Gaziosmanpasa University, Tokat, Turkey
| [c]
Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [d] College of Sciences, King Khalid University Abha, Saudi Arabia
Correspondence:
[*]
Corresponding author. M. Riaz, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: mriaz.math@pu.edu.pk.
Abstract: 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.
