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International Journal of Neutrosophic Science
Volume 16 , Issue 2, PP: 62-71 , 2021 | Cite this article as | XML | Html |PDF

Title

Continuity and Compactness on Neutrosophic Soft Bitopological Spaces

  Ahmed B. AL-Nafee 1 * ,   Jamal K. Obeed 2 ,   Huda E. Khalid 3

1  Ministry of Education, College of Open Education, Dept. of Mathematics, Babylon, Iraq
    (ahm_math_88@yahoo.com")

2  University of Missan, College Of Basic Education, Dept. of Mathematics, Iraq
    (jamal.k@uokerbala.edu.iq )

3  Administrative Assistant for the President of Telafer University, Telafer, Iraq
    (dr.huda-ismael@uotelafer.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.160201

Received: June 21, 2021 Accepted: November 10, 2021

Abstract :

In this manuscript, continuity, compactness and  concepts in neutrosophic soft bitopological space have been defined using star bineutrosophic soft open notion. Theorems and properties concerning to these two notions have been investigated here.

Keywords :

Neutrosophic Soft Set ,  Fuzzy Set ,   Spaces ,  Star Bi  Soft Open ,  -Open ,  Continuity ,  Compactness ,  Soft Set , Neutrosophic Soft Bitopological Spaces  

References :

[1] Ahmed B. AL-Nafee, Said Broumi, & Florentin Smarandache. (2021). Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science, 14(1), 47–56. http://doi.org/10.5281/zenodo.4725946. 

[2] D. Molodtsov, Soft set theory-first results, Computers & Mathematics with Applications 37(4/5)

(1999), 19 – 31, DOI: 10.1016/s0898-1221(99)00056-5.

[3] F. Smarandache, Neutrosophic set - a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24/3, (2005) 287–297.

[4] P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, (2013), 5(1), 157-168.

[5] Deli, I., & Broumi, S. (2015). Neutrosophic soft matrices and NSM-decision making. Journal of Intelligent & Fuzzy Systems, 28(5), 2233-2241.‏

[6] F. Karaasla , Neutrosophic soft sets with applications in decision making, International Journal of information science and Intelligent system, 4(2) (2015), 1-20.

[7] AL-Nafee, Ahmed B. "New Family of Neutrosophic Soft Sets." Neutrosophic Sets & Systems 38 (2020).‏

[8] T. Bera and N. K. Mahapatra, Introduction to neutrosophic soft topological space, Opsearch 54(4) (2017), 841 – 867, DOI: 10.1007/s12597-017-0308-7.

[9] Y. Taha, G. A. Cigdem and B. Sadi,"A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces",Communications in Mathematics and Applications, vol. 10(3) , pp. 481 – 493, 2019.

[10] Gündüz, A. Ç., & Bayramov, S. (2020). Neutrosophic soft continuity in neutrosophic soft topological spaces. Filomat, 34(10), 3495-3506.

[11] Ozturk, Taha Yasin et al. “On neutrosophic soft continuous mappings.” Turkish Journal of Mathematics 45 (2021): 81-95.

[12] Ozturk, Taha Yasin, Aysun Benek, and Alkan Ozkan. "Neutrosophic soft compact spaces." Afrika Matematika 32, no. 1 (2021): 301-316.

[13] Günüuz, Aras Ç., T. Y. Öztürk, and S. Bayramov. "Separation axioms on neutrosophic soft topological spaces." Turkish Journal of Mathematics 43, no. 1 (2019): 498-510.

 [14] A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, (2019).

[15] AL-Nafee, A. B., Salama, A. A., & Smarandache, F. (2020). New Types of Neutrosophic Crisp Closed Sets. Neutrosophic Sets and Systems, 36, 175-183.

[16] A. B. AL-Nafee and R. D. Ali. On Idea of Controlling Soft Gem-Set in Soft Topological Space, Jour of Adv Research in Dynamical & Control Systems, Vol. 10, 13-Special Issue, 606-615, 2018. http://jardcs.org/backissues/abstract.php?archiveid=6022.

[17] Kelly, J. C. (1963). Bitopological spaces. Proceedings of the London Mathematical Society, 3(1), 71-89. 

[18] Ittanagi, B. M. (2014). Soft bitopological spaces. International Journal of Computer Applications, 107(7), 1-4.

[19] Taha Y. O, Alkan O. Neutrosophic Bitopological Spaces, Neutrosophic Sets and Systems (2019), vol. 30, pp.88-97.

[20 ]N. C¸ a˘gman, Contributions to the theory of soft sets, Journal of New Results in Science, 4 (2014), 33-41.


Cite this Article as :
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MLA Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid. "Continuity and Compactness on Neutrosophic Soft Bitopological Spaces." International Journal of Neutrosophic Science, Vol. 16, No. 2, 2021 ,PP. 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)
APA Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid. (2021). Continuity and Compactness on Neutrosophic Soft Bitopological Spaces. Journal of International Journal of Neutrosophic Science, 16 ( 2 ), 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)
Chicago Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid. "Continuity and Compactness on Neutrosophic Soft Bitopological Spaces." Journal of International Journal of Neutrosophic Science, 16 no. 2 (2021): 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)
Harvard Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid. (2021). Continuity and Compactness on Neutrosophic Soft Bitopological Spaces. Journal of International Journal of Neutrosophic Science, 16 ( 2 ), 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)
Vancouver Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid. Continuity and Compactness on Neutrosophic Soft Bitopological Spaces. Journal of International Journal of Neutrosophic Science, (2021); 16 ( 2 ): 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)
IEEE Ahmed B. AL-Nafee, Jamal K. Obeed, Huda E. Khalid, Continuity and Compactness on Neutrosophic Soft Bitopological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 16 , No. 2 , (2021) : 62-71 (Doi   :  https://doi.org/10.54216/IJNS.160201)