Neutrosophic soft δ–topology and neutrosophic soft compactness

Abstract

We introduce the concepts of neutrosophic soft δ−interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft δ−closure, neutrosophic soft θ−closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft δ−open sets is 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.