Neutrosophic soft δ-topology and neutrosophic soft δ-compactness

Abstract

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