International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 7 , Issue 1 , PP: 31-37, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

A Note On Neutrosophic Soft Menger Topological Spaces

A.Haydar Es 1 *

  • 1 Department of Mathematics Education, Baskent University, Ankara, TURKEY - (haydares@baskent.edu.tr)
  • Doi: https://doi.org/10.54216/IJNS.070102

    Abstract

    In this paper, the concept of neutrosophic soft Mengerness, neutrosophic soft near Mengerness and neutrosophic soft almost Mengerness are introduced and studied. Some characterizations of neutrosophic soft almost Mengerness in terms of neutrosophic soft regular open or neutrosophic soft regular closed are given.

    Keywords :

    Neutrosophic soft sets, Mengerness on neutrosophic soft topological space, neutrosophic soft continuous.

    References

    [1]     W.Al-Omeri, “Neutrosophic crisp Sets via Neutrosophic crisp Topological Spaces”, Neutrosophic Sets and Systems, Vol 13, pp.96-104, 2016.

    [2]     W.Al-Omeri, S.Jafari, “On Generalized closed Sets and Generalized Pre-closed Sets in Neutrosophic Topological Spaces”, Mathematics, Vol 7 (1), pp.1-12, 2019.

    [3]     K.Atanassov and S.Stoeva, “intuitionistic fuzzy sets”, in:Polish Symp.on Interval and Fuzzy Mathematics,  Poznan,  pp.23-26, 1983.

    [4]     T.Bera and N.K.Mahapatatra, “On Neutrosophic Soft Topological Space”, Neutrosophic Sets and Systems, Vol 19, pp.3-15, 2018.

    [5]     T.Bera and N.K.Mahapatatra, “Introduction to neutrosophic soft topological spaces”, OPSEARCH, DOI 10. 1007/S12597-017-0308-7, (March, 2017).

    [6]     C.Chang, “Fuzzy topological spaces”, J.Math.Anal.Appl., Vol 24, pp.182-190, 1968.

    [7]     D.Çoker, “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy Sets and Systems, Vol 88, pp.81-89, 1997.

    [8]     I.Deli and S.Broumi, “Neutrosophic Soft Matrices and NSM-decision Making”, Journal of Intelligent and Fuzzy Systems, Vol 28 (5), pp.2233-2241, 2015.

    [9]     Lj.D.R.Kocinac, “Star-Menger and related spaces II”, Filomat, Vol 13, pp.129-140, 1999.

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

    [11]  K.Menger, “Einige Überdeckungssatze der Punktmengenlehre”, Sitzungsberichte Abt.2a, Mathematik, Astronomie, Physik, Meteorologie und Mechanik. Wiener Akademie, Wien, Vol 133, pp.421-444, 1924.

    [12]  D.Molodtsov, “Soft set theory-First results”, Computer and Mathematics with Applications, Vol 37, pp.19-31, 1999.

    [13]  A.Parvez and M.Khan, “On Nearly Menger and Nearly Star-Menger Spaces”, Filomat, Vol 33 (19), pp.6219-6227, 2019.

    [14]  F.Rothberger, “Eine Verscharfung dar Eigenschaft G”, Fund. Math., Vol 30, pp.50-55, 1938.

    [15]  M.Scheepers, “Combinatorics of open covers I: Ramsey Theory” , Topology Appl., Vol 73, pp.241-266, 1996.

    [16]  M.Shabir and M.Naz, “On soft topological spaces”, Comput. Math. Appl., Vol 61, pp.1786-1799, 2011.

    [17]  F.Smarandache, “Neutrosophy, Neutrosophic Probability, Set and Logic,” Amer.Res.Press, Rehoboth,USA., p105, 1998, http://fs.gallup.unm.edu/eBook-neutrosophics4.pdf (fourth version).

    [18]  F.Smarandache, “Neutrosophic set, a generalization of the intuitionistic fuzzy sets”, Inter.J.Pure Appl.Math., Vol 24,  pp287-297, 2005.

    [19]  F.Smarandache, S.Pramanik, Eds., “New Neutrosophic Sets via Neutrosophic Topological Spaces”, In Neutrosophic Operational Research, Pons Editions: Brussel, Belgium, Volume 1, pp.189-209, 2017.

    [20]  L.A.Zadeh, “Fuzzy sets”, Inf.Control, Vol 8, pp.338-353, 1965.

    [21]  M. Al- Tahan , Bijan Davvaz, “Neutrosophic –Ideals (-Subalgebras) of Subtraction Algebra”, International Journal of Neutrosophic Science, Volume 3 , Issue 1, pp.44-53 , 2020.

    [22]  M. Songsaeng , A.Iampan, “Image and Inverse Image of Neutrosophic Cubic Sets in UP-Algebras under UP-Homomorphisms”, International Journal of Neutrosophic Science, Volume 3 , Issue 2, pp. 89-107 , 2020 

     

    [23]  T. Bera , Nirmal Kumar Mahapatra, “An Approach to Solve the Linear Programming Problem Using Single Valued Trapezoidal Neutrosophic Number”, International Journal of Neutrosophic Science, Volume 3 , Issue 2, pp. 54-66 , 2020.

    Cite This Article As :
    Es, A.Haydar. A Note On Neutrosophic Soft Menger Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 31-37. DOI: https://doi.org/10.54216/IJNS.070102
    Es, A. (2020). A Note On Neutrosophic Soft Menger Topological Spaces. International Journal of Neutrosophic Science, (), 31-37. DOI: https://doi.org/10.54216/IJNS.070102
    Es, A.Haydar. A Note On Neutrosophic Soft Menger Topological Spaces. International Journal of Neutrosophic Science , no. (2020): 31-37. DOI: https://doi.org/10.54216/IJNS.070102
    Es, A. (2020) . A Note On Neutrosophic Soft Menger Topological Spaces. International Journal of Neutrosophic Science , () , 31-37 . DOI: https://doi.org/10.54216/IJNS.070102
    Es A. [2020]. A Note On Neutrosophic Soft Menger Topological Spaces. International Journal of Neutrosophic Science. (): 31-37. DOI: https://doi.org/10.54216/IJNS.070102
    Es, A. "A Note On Neutrosophic Soft Menger Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 31-37, 2020. DOI: https://doi.org/10.54216/IJNS.070102