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Soft b-separation axioms in neutrosophic soft topological structures

Title
Soft b-separation axioms in neutrosophic soft topological structures
Author
박춘길
Keywords
Neutrosophic soft set; Neutrosophic soft point; Neutrosophic soft b-open set; Neutrosophic soft b-neighborhood; Neutrosophic soft b-separation axioms
Issue Date
2019-08
Publisher
원광대학교 기초자연과학연구소
Citation
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v. 18, no. 1, Page. 93-105
Abstract
The idea of neutrosophic set was floated by Smarandache by supposing a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. Neutrosophic soft sets bonded by Maji have been utilized successfully to model uncertainty in several areas of application such as control, reasoning, pattern recognition and computer vision. The first aim of this article bounces the idea of neutrosophic soft b-open set, neutrosophic soft b-closed sets and their properties. Also the idea of neutrosophic soft b-neighborhood and neutrosophic soft b-separation axioms in neutrosophic soft topological structures are also reflected here. Later on the important results are discussed related to these newly defined concepts with respect to soft points. The concept of neutrosophic soft b-separation axioms of neutrosophic soft topological spaces is diffused in different results with respect to soft points. Furthermore, properties of neutrosophic soft b-$T^i$-space $(i = 0, 1, 2, 3,4)$ and some linkage between them are discussed.
URI
https://www.kci.go.kr/kciportal/landing/article.kci?arti_id=ART002492696https://repository.hanyang.ac.kr/handle/20.500.11754/152467
ISSN
2093-9310; 2287–6235
DOI
10.30948/afmi.2019.18.1.93
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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