Neutrosophic soft delta-topology and neutrosophic soft compactness

Abstract

We introduce the concepts of neutrosophic soft delta-interior, neutrosophic soft quasicoincidence, neutrosophic soft q-neighborhood, neutrosophic regular open soft set, neutrosophic soft delta-closure, neutrosophic soft theta-closure, neutrosophic semi open soft set and show that the set of all neutrosophic soft delta-open sets is also a neutrosophic soft topology, which is called the neutrosophic soft delta-topology. We obtain equivalent forms of neutrosophic soft delta-continuity. Moreover, the notions of neutrosophic soft delta-compactness and neutrosophic soft locally delta-compactness are defined and their basic properties under neutrosophic soft delta-continuous mappings are investigated.