Abstract
In this study, we introduce the concept of neutrosophic soft pre-open (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 definition for neutrosophic soft topological subspace and define neutrosophic soft pre irresolute soft and neutrosophic pre irresolute open soft functions.
Highlights
In 2005, Smarandache introduced the concept of a neutrosophic set [20] as a generalization of classical sets, fuzzy set theory [20], intuitionistic fuzzy set theory [4] etc
We introduce the concept of neutrosophic soft preopen sets and pre-separation axioms in neutrosophic soft topological spaces
A new approach is made to the concept of neutrosophic soft topological subspace
Summary
In 2005, Smarandache introduced the concept of a neutrosophic set [20] as a generalization of classical sets, fuzzy set theory [20] (see [10]) , intuitionistic fuzzy set theory [4] (see [14]) etc By using this theory of neutrosophic set, some scientists made researches in many areas of mathematics [7, 18]. We de...ne neutrosophic soft pre interior point, neutrosophic soft pre cluster point, neutrosophic soft pre interior operator and neutrosophic soft pre closure operator By using these de...nitions and concepts, the concept of pre-separation axioms of neutrosophic soft topological spaces is introduced. The ...ndings in this document will help scientists to enhance and promote the further studies on neutrosophic soft topology to carry out a general framework for their applications in practical life
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