A New Approach to Neutrosophic Soft Rough Sets]{A New Approach to Neutrosophic Soft Rough Sets

Rough set is a world-renowned innovation for dealing with ambiguous,incomplete, and imprecise situations. Soft set theory and neutrosophic settheory are other advanced mathematical techniques for dealing withambiguous, partial, and inconsistent data. The aim of this paper is tobroaden the scope of rough set theory, soft set theory, and neutrosophic settheory. The notion of neutrosophic soft rough sets have been re-introduced.On neutrosophic soft rough set, several definitions, properties, andexamples have been established. We also develop the concept of neutrosophicsoft rough topology, which is based on a novel neutrosophic soft rough setapproach. We have defined open sets, closed sets, interior, and closure ascharacteristics of neutrosophic soft rough topology.