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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 14 , Issue 1 , PP: 47-56, 2021 | Cite this article as | XML | PDF | Full Length Article

Neutrosophic Soft Bitopological Spaces

Ahmed B. AL-Nafee 1 * , Said Broumi 2 , Florentin Smarandache 3

  • 1 Ministry of Education Open Educational College, Department of Mathematics, Babylon, Iraq. - (Ahm_math_88@yahoo.com)
  • 2 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco. - (broumisaid78@gmail.com)
  • 3 Deparment of Mathematics ,University of New Mexico 705 AVE Gallup, NM 87301, USA. - (smarand@unm.edu)

    • Doi: https://doi.org/10.54216/IJNS.140104

    November 20, 2020 Accepted: March 25, 2021
    Abstract

     

    In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N3-(bi)*-open set, N3-(bi)*-closed set, (bi)*-neutrosophic soft interior, (bi)* neutrosophic soft closure, (bi)*-neutrosophic soft boundary, (bi)*-neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we introduced many examples.

     

    Keywords :

    Neutrosophic soft bitopological Spaces, star bineutrosophic soft open set, star bi neutrosophic soft closed set.

    References

     

    [1]     D. Molodtsov, "Soft set theory-First results", Computers & Mathematics with Applications, 37, pp.19–31,  1999.

     

    [2]     F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Re- search Press, Rehoboth, NM, 1999.

     

    [3]     L. Zadeh, "Fuzzy sets", Inform and Control, 8, pp.338–353, 1965.

     

    [4]     K.Atanassov, "Intuitionistic Fuzzy Sets", Fuzzy Sets and Systems, 20 , pp. 87-96, 1986.

     

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

     

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

     

    [7]     I. Deli and S. Broumi, "Neutrosophic soft relations and some properties", Annals of Fuzzy Mathematics and Informatics, 9(1), pp.169 – 182, 2015.

     

    [8]     T. Bera and N.Mahapatra, "Introduction to neutrosophic soft topological space", Opsearch, 54(4), pp. 841- 867, 2017.

     

    [9]     A. B. AL-Nafee, "New Family of Neutrosophic Soft Sets", Neutrosophic Sets and Systems, 38, pp. 482 - 496, 2020.

     

    [10]   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.

     

    [11]   A. B. AL-Nafee, R. Al-Hamido and F. Smarandache, “ Separation Axioms in Neutrosophic Crisp Topological Spaces”, Neutrosophic Sets and Systems, 25 , pp. 25 - 33, 2019.

     

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

     

    [13]   A. B. AL-Nafee, “On *Soft Turing Point with Separation Axioms”, JUBPAS, vol. 26, no. 7, pp. 200 - 209, May 2018.  

     

    [14]   A. Al-nafee and L. Al-swidi , "Separation Axioms Using Soft Turing Point of a Soft Ideal in Soft Topological Space", Journal of New Theory, no. 25, pp. 29-37, Oct. 2018.

     

    [15]    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.

     

    [16]   E. P Evanzalin, I. H Jude and .K. Sivaranjani, "Introduction to neutrosophic soft topological spatial region", Neutrosophic Sets and Systems, vol. 31 , pp. 297 – 304, 2020.

     

    [17]   A. A. Salama and S. Alblowi, “Neutrosophic set and neutrosophic topological spaces”, ISOR J. Mathematicsvol. 3, no. 3, pp.31 – 35, 2012.

     

    [18]   D. R. Narmada, R. Dhavaseelan and S. Jafari, “On Separation Axioms in an Ordered Neutrosophic Bitopological Space“, Neutrosophic Sets and Systems, vol. 18, pp. 27-36, 2017.

     

    [19]   D. N. Georgiou, A. C. Megaritis and V. I. Petropoulos, “On soft topological spaces“, Appl. Math. Inf. Sci, 7(2) 1889-1901. 2013.

     

    [20]   N.Cageman and S.Enginolgu, “Contributions to the Theory of Soft Sets“, Journal of New Results in Science, 4 ,33-41, 2014.

     

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

     

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

     

    [23]   A. Kandil, A. A. Nouh & S. A El-Sheikh, “On fuzzy bitopological spaces“, Fuzzy sets and systems, 74(3), 353-363, 1995.

     

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

     

    [25]   R. Al-Hamido,“Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21, 66-73. 2018.

     

    [26]   F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Inter. J.Pure Appl. Math. 24, 287-297, 2005.

     

    [27]   I. D. Jaleel and L. A. Al-Swidi, d-OPEN SET IN BITOPOLOGICAL SPACE . M.sc. thesis University of Babylon, 2003.

     

    Cite This Article As :
    B., Ahmed. , Broumi, Said. , Smarandache, Florentin. Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2021, pp. 47-56. DOI: https://doi.org/10.54216/IJNS.140104
    B., A. Broumi, S. Smarandache, F. (2021). Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science, (), 47-56. DOI: https://doi.org/10.54216/IJNS.140104
    B., Ahmed. Broumi, Said. Smarandache, Florentin. Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science , no. (2021): 47-56. DOI: https://doi.org/10.54216/IJNS.140104
    B., A. , Broumi, S. , Smarandache, F. (2021) . Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science , () , 47-56 . DOI: https://doi.org/10.54216/IJNS.140104
    B. A. , Broumi S. , Smarandache F. [2021]. Neutrosophic Soft Bitopological Spaces. International Journal of Neutrosophic Science. (): 47-56. DOI: https://doi.org/10.54216/IJNS.140104
    B., A. Broumi, S. Smarandache, F. "Neutrosophic Soft Bitopological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 47-56, 2021. DOI: https://doi.org/10.54216/IJNS.140104

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