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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 18 , Issue 3 , PP: 10-20, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

On Neutrosophic Generalized Semi Generalized Closed Sets

Qays Hatem Imran 1 * , Ali H. M. Al-Obaidi 2 , Florentin Smarandache 3 , Said Broumi 4

  • 1 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (qays.imran@mu.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq - (aalobaidi@uobabylon.edu.iq)
  • 3 Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA - (smarand@unm.edu)
  • 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.18030101

    Received: March 02, 2022 Accepted: May 30, 2022
    Abstract

    The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called Neutrosophic gsg-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic gsg-closure and neutrosophic gsg-interior and debating their powerful characterizations and relationships.

    Keywords :

    Neu^gsg CS , Neu^gsg OS , Neu^gsg-closure , Neu^gsg-interior

    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 and neutrosophic logic, first international conference on neutrosophy, neutrosophic logic, set, probability, and statistics, University of New Mexico, Gallup, NM 87301, USA (2002).

    [3]   ‏A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces. IOSR Journal of Mathematics, 3(2012), 31-35.

    [4]   Q. H. Imran, F. Smarandache, R. K. Al-Hamido and R. Dhavaseelan, On neutrosophic semi-α-open sets. Neutrosophic Sets and Systems, 18(2017), 37-42.

    [5]   Md. Hanif PAGE and Q. H. Imran, Neutrosophic generalized homeomorphism. Neutrosophic Sets and Systems, 35(2020), 340-346.

    [6]   R. Dhavaseelan and S. Jafari, Generalized Neutrosophic closed sets. New trends in Neutrosophic theory and applications, 2(2018), 261-273.

    [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.

    [8]   P. Iswarya and Dr. K. Bageerathi, On neutrosophic semi-open sets in neutrosophic topological spaces. International Journal of Mathematics Trends and Technology (IJMTT), Vol.37, No.3 (2016), 24-33.

    [9]   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.

    [10]  A. Pushpalatha and 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.

    [12]  D. Sreeja and T. Sarankumar, Generalized Alpha Closed sets in Neutrosophic topological spaces. Journal of Applied Science and Computations, 5(11), (2018), 1816-1823.

    [13]  P. Iswarya and Dr. K. Bageerathi, A study on neutrosophic semi generalized closed sets in neutrosophic topological spaces. Acta Ciencia Indica, Vol. XLIII M, No.4, (2017), 239-245.

    [14]  V. K. Shanthi, S. Chandrasekar and K. Safina Begam, Neutrosophic generalized semi closed sets in neutrosophic topological spaces. International Journal of Research in Advent Technology, Vol.6, No.7, (2018), 1739-1743.

    [15]  P. Iswarya and Dr. K. Bageerathi, A study on neutrosophic generalized semi closed sets in neutrosophic topological spaces. Journal of Emerging Technologies and Innovative Research (JETIR), Volume 6, Issue 2, (2019), 452-457.

     

    Cite This Article As :
    Hatem, Qays. , H., Ali. , Smarandache, Florentin. , Broumi, Said. On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science, vol. , no. , 2022, pp. 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
    Hatem, Q. H., A. Smarandache, F. Broumi, S. (2022). On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science, (), 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
    Hatem, Qays. H., Ali. Smarandache, Florentin. Broumi, Said. On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science , no. (2022): 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
    Hatem, Q. , H., A. , Smarandache, F. , Broumi, S. (2022) . On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science , () , 10-20 . DOI: https://doi.org/10.54216/IJNS.18030101
    Hatem Q. , H. A. , Smarandache F. , Broumi S. [2022]. On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science. (): 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
    Hatem, Q. H., A. Smarandache, F. Broumi, S. "On Neutrosophic Generalized Semi Generalized Closed Sets," International Journal of Neutrosophic Science, vol. , no. , pp. 10-20, 2022. DOI: https://doi.org/10.54216/IJNS.18030101

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