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

Neutrosophic Semi-alpha Continuous Mappings in Neutrosophic Topological Spaces

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_7How to use a DOI?
Keywords
Neutrosophic topological space; Neutrosophic $$ semi {-} \alpha {-} open $$ set; Neutrosophic $$ semi {-} \alpha {-} closed $$ set; Neutrosophic $$ semi {-} \alpha {-} continuous $$ mapping; Neutrosophic $$ semi {-} \alpha{-} irresolute $$ mapping; Neutrosophic contra $$ semi {-}\alpha {-} continuous $$ mapping; Neutrosophic contra $$ semi {-} \alpha {-} irresolute $$ mapping
Abstract

In 2017, Qays Hatem Imran, F. Smarandache, Riad K. Al-Hamido, and R. Dhavaseelan presented the concept of neutrosophic open sets called neutrosophic semi-α-open sets and studied their fundamental properties in neutrosophic topological spaces. He also presented neutrosophic semi-α-interior and neutrosophic semi-α-closure and studied some of their fundamental properties. In this paper, we introduce the concepts of neutrosophic $${\text{semi}} {-} \upalpha {-}{\text{continuous}}$$ mappings, neutrosophic contra $${\text{semi}}{-} \upalpha{-} {\text{continuous}}$$ mappings, and contra $${\text{semi}}{-} \upalpha{-} {\text{irresolute}}$$ mappings in neutrosophic topological spaces. We investigate and obtain several properties and characterizations concerning these mappings in neutrosophic topological 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_7
ISSN
2352-538X
DOI
10.2991/978-94-6463-014-5_7How 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 Semi-alpha Continuous Mappings in Neutrosophic Topological Spaces
BT  - Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
PB  - Atlantis Press
SP  - 57
EP  - 66
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-014-5_7
DO  - 10.2991/978-94-6463-014-5_7
ID  - Latif2022
ER  -