NEUTROSOPHIC SOFT δ-TOPOLOGY AND COMPACTNESS

Abstract

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