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International Journal of Neutrosophic Science
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Title

On Neutrosophic Generalized Alpha Generalized Separation Axioms

  Murtadha M. Abdulkadhim 1 * ,   Qays H. Imran 2 ,   Amer K. Abed 3 ,   Said Broumi 4

1  Department of Science, College of Basic Education, Al-Muthanna University, Samawah, Iraq
    (murtadha_moh@mu.edu.iq)

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

3  Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq
    (amer.khrija@mu.edu.iq)

4  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/IJNS.190107

Received: April 13, 2022 Accepted: September 11, 2022

Abstract :

The paper provided a new notion of neutrosophic separation axioms as neutrosophic gαg-Ri-space & neutrosophic gαg-Tj-space (note that the indexes i & j are natural numbers of the spaces R & T are from 0 to 1 & from 0 to 2 alternately).

Keywords :

Ngαg-OS; Ngαg-CS; Ngαg-Ri-space; i=0 , 1 & Ngαg-Tj-space; j=0 , 1 , 2.

References :

[1] F. Smarandache, A unifying field in logics: neutrosophic logic, neutrosophy, neutrosophic set, neutrosophic

probability. American Research Press, Rehoboth, NM, (1999).

[2] F. Smarandache, Neutrosophy & neutrosophic logic, first international conference on neutrosophy,

neutrosophic logic, set, probability, & statistics, University of New Mexico, Gallup, NM 87301, USA (2002).

[3] M. Parimala , M. Karthika , Florentin Smarandache , Said Broumi, On αω-closed sets and its connectedness

in terms of neutrosophic topological spaces, International Journal of Neutrosophic Science, 2 (2020), 82-88

[4] I. Arokiarani, R. Dhavaseelan, S. Jafari & M. Parimala, On Some New Notions & Functions in Neutrosophic

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

[5] Q. H. Imran, F. Smarandache, R. K. Al-Hamido & R. Dhavaseelan, On neutrosophic semi-α-open sets.

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

[6] R. Dhavaseelan & S. Jafari, Generalized Neutrosophic closed sets. New trends in Neutrosophic theory and

applications, 2(2018), 261-273.

[7] R. Dhavaseelan, R. Narmada Devi, S. Jafari & Q. H. Imran, Neutrosophic -continuity. Neutrosophic Sets

and Systems, 27(2019), 171-179.

[8] Md. Hanif PAGE & Q. H. Imran, Neutrosophic generalized homeomorphism. Neutrosophic Sets and Systems,

35(2020), 340-346.

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

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

[10] A. Pushpalatha & T. Nandhini, Generalized closed sets via neutrosophic topological spaces. Malaya Journal

of Matematik, 7(1), (2019), 50-54.

[11] D. Jayanthi, α Generalized Closed Sets in Neutrosophic Topological Spaces. International Journal of

Mathematics Trends and Technology (IJMTT)- Special Issue ICRMIT March (2018), 88-91.

 


Cite this Article as :
Style #
MLA Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi. "On Neutrosophic Generalized Alpha Generalized Separation Axioms." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)
APA Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi. (2022). On Neutrosophic Generalized Alpha Generalized Separation Axioms. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)
Chicago Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi. "On Neutrosophic Generalized Alpha Generalized Separation Axioms." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)
Harvard Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi. (2022). On Neutrosophic Generalized Alpha Generalized Separation Axioms. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)
Vancouver Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi. On Neutrosophic Generalized Alpha Generalized Separation Axioms. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)
IEEE Murtadha M. Abdulkadhim, Qays H. Imran, Amer K. Abed, Said Broumi, On Neutrosophic Generalized Alpha Generalized Separation Axioms, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 99-106 (Doi   :  https://doi.org/10.54216/IJNS.190107)