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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems
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Volume 4 • Issue 1 • PP: 08-14 • 2022

On New Concepts of Weakly Neutrosophic Continuous Functions

Ali H. M. Al-Obaidi 1*
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,
Q. Hatem Imran 2
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,
Said Broumi 3
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1Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.
2Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq.
3Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco.
* Corresponding Author.
DOI https://doi.org/10.54216/JNFS.040101
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: April 12, 2022 Accepted: August 11, 2022
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Abstract

In this paper, we intend to utilize the ideas of Neuα-open and Neusα-open  sets to distinguish several novel conceptions of weakly neutrosophic continuous functions, for instance; -continuous, Neuα**-continuous , Neusα-continuous, Neusα*-continuous and Neusα**-continuous functions. Moreover, we will describe the interactions among these thoughts of weakly neutrosophic continuous functions.

Mathematics Subject Classification (2010): 54A05, 54B05.

Keywords

Neus&alpha -open set Neu&alpha -continuous Neu&alpha *-continuous Neu&alpha **-continuous Neus&alpha -continuous Neus&alpha *-continuous &nbsp and Neus&alpha **-continuous functions.

References

[1] A. A. Salama and S. A. Alblowi, Neutrosophic Set and Neutrosophic Topological Spaces, IOSR Journal of

Mathematics, Volume 3, Issue 4 (Sep-Oct. 2012), 31-35.

[2] A. A. Salama and F. Smarandache, Neutrosophic Crisp Set Theory, Educational Publisher, Columbus, USA,

2015, ISBN 978-1-59973-323-4.

[3] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set,

Neutrosophic Probability. American Research Press, Rehoboth, NM, (1999).

[4] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy,

Neutrosophic Logic, Set, Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA

(2002).

[5] I. Arokiarani, R. Dhavaseelan, S. Jafari and M. Parimala, On Some New Notions and Functions in

Neutrosophic Topological Spaces. Neutrosophic Sets and Systems, 16(2017), 16-19.

[6] Q. H. Imran, F. Smarandache, R. K. Al-Hamido and R. Dhavaseelan, On Neutrosophic Semi--Open Sets.

Neutrosophic Sets and Systems, 18(2017), 37-42.

[7] Q. H. Imran, R. Dhavaseelan, A. H. M. Al-Obaidi and M. H. Page, On neutrosophic generalized alpha

generalized continuity. Neutrosophic Sets and Systems, 35(2020), 511-521.

Cite This Article

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Al-Obaidi, Ali H. M., Imran, Q. Hatem, Broumi, Said. "On New Concepts of Weakly Neutrosophic Continuous Functions." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 4, no. Issue 1, 2022, pp. 08-14. DOI: https://doi.org/10.54216/JNFS.040101
Al-Obaidi, A., Imran, Q., Broumi, S. (2022). On New Concepts of Weakly Neutrosophic Continuous Functions. Journal of Neutrosophic and Fuzzy Systems, Volume 4(Issue 1), 08-14. DOI: https://doi.org/10.54216/JNFS.040101
Al-Obaidi, Ali H. M., Imran, Q. Hatem, Broumi, Said. "On New Concepts of Weakly Neutrosophic Continuous Functions." Journal of Neutrosophic and Fuzzy Systems Volume 4, no. Issue 1 (2022): 08-14. DOI: https://doi.org/10.54216/JNFS.040101
Al-Obaidi, A., Imran, Q., Broumi, S. (2022) 'On New Concepts of Weakly Neutrosophic Continuous Functions', Journal of Neutrosophic and Fuzzy Systems, Volume 4(Issue 1), pp. 08-14. DOI: https://doi.org/10.54216/JNFS.040101
Al-Obaidi A, Imran Q, Broumi S. On New Concepts of Weakly Neutrosophic Continuous Functions. Journal of Neutrosophic and Fuzzy Systems. 2022;Volume 4(Issue 1):08-14. DOI: https://doi.org/10.54216/JNFS.040101
A. Al-Obaidi, Q. Imran, S. Broumi, "On New Concepts of Weakly Neutrosophic Continuous Functions," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 4, no. Issue 1, pp. 08-14, 2022. DOI: https://doi.org/10.54216/JNFS.040101
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