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Title

On New Concepts of Weakly Neutrosophic Continuous Functions

  Ali H. M. Al-Obaidi 1 * ,   Q. Hatem Imran 2 ,   Said Broumi 3

1  Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.
    (aalobaidi@uobabylon.edu.iq)

2  Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq.
    (qays.imran@mu.edu.iq)

3  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco.
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/JNFS.040101

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

Abstract :

In this paper, we intend to utilize the ideas of Neuα-open and Neu-open  sets to distinguish several novel conceptions of weakly neutrosophic continuous functions, for instance; -continuous, Neuα**-continuous , Neu-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   , 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 as :
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MLA Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi. "On New Concepts of Weakly Neutrosophic Continuous Functions." Full Length Article, Vol. 4, No. 1, 2022 ,PP. 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)
APA Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi. (2022). On New Concepts of Weakly Neutrosophic Continuous Functions. Journal of Full Length Article, 4 ( 1 ), 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)
Chicago Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi. "On New Concepts of Weakly Neutrosophic Continuous Functions." Journal of Full Length Article, 4 no. 1 (2022): 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)
Harvard Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi. (2022). On New Concepts of Weakly Neutrosophic Continuous Functions. Journal of Full Length Article, 4 ( 1 ), 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)
Vancouver Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi. On New Concepts of Weakly Neutrosophic Continuous Functions. Journal of Full Length Article, (2022); 4 ( 1 ): 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)
IEEE Ali H. M. Al-Obaidi, Q. Hatem Imran, Said Broumi, On New Concepts of Weakly Neutrosophic Continuous Functions, Journal of Full Length Article, Vol. 4 , No. 1 , (2022) : 08-14 (Doi   :  https://doi.org/10.54216/JNFS.040101)