Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces

被引：0

作者：

Mehmood A. ^{[1
]}

Nadeem F. ^{[2
]}

Nordo G. ^{[3
]}

Zamir M. ^{[2
]}

Park C. ^{[4
]}

Kalsoom H. ^{[5
]}

Jabeen S. ^{[6
]}

Khan M.I. ^{[7
]}

机构：

[1] Department of Mathematics and Statistics, Riphah International University, Sector I 14, Islamabad

[2] Department of Mathematics, University of Science and Technology, Khyber Pakhtunkhwa, Bannu

[3] MIFT – Dipartimento di Scienze Matematiche e Informatiche, scienze Fisiche e scienze della Terra, Messina University, Messina

[4] Department of Mathematics, Research Institute for Natural Sciences, Hanyang University

[5] School of Mathematical Sciences, Zhejiang University, Hangzhou

[6] School of Mathematics and system Sciences Beihang University Beijing, Beijing

[7] Department of Epidemiology and Biostatistics, Anhui Medical University

来源：

Neutrosophic Sets and Systems | 2020年 / 32卷

关键词：

neutrosophic soft p-neighborhood; neutrosophic soft p-open set; neutrosophic soft p-separation axioms); neutrosophic soft point; neutrosophic soft set;

D O I：

10.5281/zenodo.3723601

中图分类号：

学科分类号：

摘要：

The idea of neutrosophic set was floated by Smarandache by considering a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. The engagement between neutrosophic set and soft set was done by Maji. More over it was used effectively to model uncertainty in different areas of application, such as control, reasoning, pattern recognition and computer vision. The first aim of this paper leaks out the notion of neutrosophic soft p-open set, neutrosophic soft p-closed sets and their important characteristics. Also the notion of neutrosophic soft p-neighborhood and neutrosophic soft p-separation axioms in neutrosophic soft topological spaces are developed. Important results are examed marrying to these newly defined notion relative to soft points. The notion of neutrosophic soft p-separation axioms of neutrosophic soft topological spaces is diffused in different results concerning soft points. Furthermore, properties of neutrosophic soft -Pi-space (i = 0,1, 2, 3,4) and linkage between them is built up. © 2020. All Rights Reserved.

引用

页码：38 / 51

页数：13

共 18 条

[1]

Atanassov K., Intuitionistic fuzzy sets, Fuzzy sets Syst, 20, pp. 87-96, (1986)

[2]

Bayramov S., Gunduz C., On intuitionistic fuzzy soft topological spaces, TWMS J. Pure Appl. Math, 5, pp. 66-79, (2014)

[3]

Bayramov S., Gunduz C., A new approach to separability and compactness in soft topological spaces, TWMS J. Pure Appl. Math, 9, pp. 82-93, (2018)

[4]

Bera T., Mahapatra N.K., On neutrosophic soft function, Ann. Fuzzy Math. Inform, 12, pp. 101-199, (2016)

[5]

Bera T., Mahapatra N.K., Introduction to neutrosophic soft topological space, Opsearch, 54, pp. 841-867, (2017)

[6]

Cagman N., Karatas S., Enginoglu S., Soft topology, Comput. Math. Appl, 62, pp. 351-358, (2011)

[7]

Deli I., Broumi S., Neutrosophic soft relations and some properties, Ann. Fuzzy Math. Inform, 9, pp. 169-182, (2015)

[8]

Gunduz Aras C., Bayramov S., On the Tietze extension theorem in soft topological spaces, Proceedings of the Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, 43, pp. 105-115, (2017)

[9]

Khattak A. M., Zamir M., Alam M., Nadeem F., Jabeen S., Zaighum A., Weak Soft Open Sets in Soft Bi Topological Spaces, Journal of Mathematical Extension, 14, pp. 85-116, (2020)

[10]

Maji P.K., Neutrosophic soft set, Ann. Fuzzy Math. Inform, 5, pp. 157-168, (2013)

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