Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making

Abstract

In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSRtopology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSRtopology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point,
and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM)
methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems.
For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determine
core issues to control crime rate based on NSR-lower approximations, NSR-upper approximations,
matrices, core, and NSR-topology.