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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 106-118, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity

Qays Hatem Imran 1 * , Murtadha M. Abdulkadhim 2 , Ali H. M. Al-Obaidi 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 Science, College of Basic Education, Al-Muthanna University, Samawah, Iraq - (murtadha_moh@mu.edu.iq)
  • 3 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (aalobaidi@uobabylon.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.200408

    Received: December 19, 2022 Accepted: March 09, 2023
    Abstract

    In this paper, we delivered pioneering notions of closed sets in the neutrosophic crisp sense. In other words, we discussed -closed sets, -closed sets, and -closed sets in neutrosophic crisp topological space. Moreover, the subsequent innovative ideas are established, for instance, -closure and -interior in neutrosophic crisp topological space, and obtaining numerous of their highlights. Besides, we submitted different kinds of neutrosophic crisp continuous functions and their associations.

    Keywords :

    Neucgsg CS , Neucgsg OS , Neucgsg-closure ,   , Neucgsg-interior ,   , Neucgsg -continuous ,   , Neucgsg*-continuous and Neucgsg**-continuous functions.

    References

    [1] A. A. Salama, F. Smarandache and V. Kroumov, Neutrosophic crisp sets and neutrosophic crisp topological spaces. Neutrosophic Sets and Systems, 2(2014), 25-30.

    [2] A. A. Salama, I. M. Hanafy, Hewayda El Ghawalby and M. S. Dabash, Some GIS Topological Concepts via Neutrosophic Crisp Set Theory. New Trends in Neutrosophic Theories and Applications, (2016), 315-323.

    [3] R. K. Al-Hamido, Q. H. Imran, K. A. Alghurabi and T. Gharibah, On neutrosophic crisp semi--closed sets. Neutrosophic Sets and Systems, 21(2018), 28-35.

    [4] A. H. M. Al-Obaidi and Q. H. Imran, On new types of weakly neutrosophic crisp open mappings. Iraqi Journal of Science, 62(8) (2021), 2660-2666.

    [5] A. H. M. Al-Obaidi, Q. H. Imran and M. M. Abdulkadhim, On new types of weakly neutrosophic crisp closed functions. Neutrosophic Sets and Systems, 50(2022), 239-247.

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

    [7] Q. H. Imran, R. K. Al-Hamido and A. H. M. Al-Obaidi, On new types of weakly neutrosophic crisp continuity. Neutrosophic Sets and Systems, 38(2020), 179-187.

    [8] Q. H. Imran, K. S. Tanak and A. H. M. Al-Obaidi, On new concepts of neutrosophic crisp open sets. Journal of Interdisciplinary Mathematics, 25(2) (2022), 563-572.

    [9] M. Parimala, R. Jeevitha, F. Smarandache, S. Jafari and R. Udhayakumar, Neutrosophic αψ-homeomorphism in neutrosophic topological spaces. Information, 187(9) (2018), 1-10.

    [10] V. Banupriya and S. Chandrasekar, Neutrosophic αgs continuity and neutrosophic αgs irresolute maps. Neutrosophic Sets and Systems, 28(2019), 162-170.

    [11] V. Banupriya, S. Chandrasekar, M. Suresh, S. Anbalagan, Neutrosophic GS closed sets in neutrosophic topological spaces. Neutrosophic Sets and Systems, 49(2022), 375-388.

    [12] M. M. Abdulkadhim, Q. H. Imran, A. H. M. Al-Obaidi and Said Broumi, On neutrosophic crisp generalized alpha generalized closed sets. International Journal of Neutrosophic Science, 19(1) (2022), 107-115.

    Cite This Article As :
    Hatem, Qays. , M., Murtadha. , H., Ali. , Broumi, Said. Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 106-118. DOI: https://doi.org/10.54216/IJNS.200408
    Hatem, Q. M., M. H., A. Broumi, S. (2023). Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science, (), 106-118. DOI: https://doi.org/10.54216/IJNS.200408
    Hatem, Qays. M., Murtadha. H., Ali. Broumi, Said. Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science , no. (2023): 106-118. DOI: https://doi.org/10.54216/IJNS.200408
    Hatem, Q. , M., M. , H., A. , Broumi, S. (2023) . Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science , () , 106-118 . DOI: https://doi.org/10.54216/IJNS.200408
    Hatem Q. , M. M. , H. A. , Broumi S. [2023]. Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science. (): 106-118. DOI: https://doi.org/10.54216/IJNS.200408
    Hatem, Q. M., M. H., A. Broumi, S. "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity," International Journal of Neutrosophic Science, vol. , no. , pp. 106-118, 2023. DOI: https://doi.org/10.54216/IJNS.200408

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