In this study, we introduce the concept of neutrosophic soft preopen (neutrosophic soft pre-closed) sets and pre-separation axioms in neutrosophic soft topological spaces. In particular, the relationship between these separation axioms are investigated. Also, we give a new de…nition for neutrosophic soft topological subspace and de…ne neutrosophic soft pre irresolute soft and neutrosophic pre irresolute open soft functions.
We introduce the concepts of neutrosophic soft ?-interior, neutrosophic soft
quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft
regular open set, neutrosophic soft ?-closure, neutrosophic soft ?-closure
and neutrosophic soft semi open set. It is also shown that the set of all
neutrosophic soft ?-open sets is a neutrosophic soft topology, which is
called the neutrosophic soft ?-topology. We obtain equivalent forms of
neutrosophic soft ?-continuity. Moreover, the notions of neutrosophic soft
?-compactness and neutrosophic soft locally ?-compactness are defined and
their basic properties under neutrosophic soft ?-continuous mappings are
investigated.
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