Abstract

Abstract In this paper, we define boundary of neutrosophic soft set, neutrosophic soft dense set, neutrosophic soft basis and neutrosophic soft subspace topology on neutrosophic soft topological spaces. Furthermore, some important theorems are proved and interesting examples are given.

Highlights

  • The theory of fuzzy set was introduced by Zadeh in 1965 [19]

  • This theory is the generalization of many theories such as; fuzzy set [19], intuitionistic fuzzy set [7]

  • Many authors studied on different combination of fuzzy set, soft set, intuitionistic set, neutrosophic set, etc. [1,2,3,4,5,6, 8, 11, 15, 16, 18]

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Summary

Introduction

The theory of fuzzy set was introduced by Zadeh in 1965 [19]. After Zadeh, Smarandache introduced the theory of neutrosophic set [17]. After Molodtsov, many different studies have been done on soft set theory. Many authors studied on different combination of fuzzy set, soft set, intuitionistic set, neutrosophic set, etc. [1,2,3,4,5,6, 8, 11, 15, 16, 18] One of these combinations, neutrosophic soft set theory was first introduced by Maji [10].

Preliminary
Some Structures on Neutrosophic Soft Topological Spaces
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