Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)

Neutrosophic Delta Beta Normal Topological Space

Authors
Raja Mohammad Latif1, *
1Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Al Khobar, Saudi Arabia
*Corresponding author. Email: rlatif@pmu.edu.sa
Corresponding Author
Raja Mohammad Latif
Available Online 12 December 2022.
DOI
10.2991/978-94-6463-014-5_6How to use a DOI?
Keywords
Neutrosophic topological space; Neutrosophic $$\updelta \upbeta {\mathbf{ - }}{\rm{open}}$$ set
Abstract

Real-life structures always include indeterminacy. The Mathematical tool which is well known in dealing with indeterminacy is neutrosophic. Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deal with uncertain data. The notion of neutrosophic sets is generally referred to as the generalization of intuitionistic fuzzy sets. In this paper, we introduce neutrosophic $$\updelta \upbeta {\mathbf{ - }}{\rm{normal}}$$ space and strongly neutrosophic $$\updelta \upbeta {\mathbf{ - }}{\rm{normal}}$$ space by using neutrosophic $$\updelta \upbeta {\mathbf{ - }}{\rm{normal}}$$ sets and neutrosophic $$\updelta \upbeta {\mathbf{ - }}{\rm{closed}}$$ sets. We investigate several fundamental properties and characterizations of these spaces as well as their relations among themselves and with already existing spaces.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
Series
Advances in Computer Science Research
Publication Date
12 December 2022
ISBN
10.2991/978-94-6463-014-5_6
ISSN
2352-538X
DOI
10.2991/978-94-6463-014-5_6How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Raja Mohammad Latif
PY  - 2022
DA  - 2022/12/12
TI  - Neutrosophic Delta Beta Normal Topological Space
BT  - Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
PB  - Atlantis Press
SP  - 47
EP  - 56
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-014-5_6
DO  - 10.2991/978-94-6463-014-5_6
ID  - Latif2022
ER  -