Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

9-2020

Abstract

In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.

Publisher

MDPI

Publication Title

Symmetry

Volume

12

Issue

1557

First Page

1

Last Page

20

DOI

doi:10.3390/sym12091557

Language (ISO)

English

Keywords

neutrosophic sets; smooth neutrosophic topology; basis; subbasis; smooth neutrosophic product topology

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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