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International Journal of Neutrosophic Science

Volume 20 , Issue 3 , PP: 82-97, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces

P. Reena Joice 1 * , M. Trinita Pricilla 2 , S. Broumi 3

  • 1 Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India - (reenajoice98@gmail.com)
  • 2 Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India - (sharmila.kennet@gmail.com)
  • 3 Information Processing, Faculty of Science Ben M’Sik, University, Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco - (s.broumi@flbenmsik.ma)

    • Doi: https://doi.org/10.54216/IJNS.200308

    Received: October 05, 2022 Accepted: March 03, 2023
    Abstract

    The motivation of this article is to develop a new idea namely generalized pre-closed sets in Fermatean Neutrosophic Hypersoft topological spaces. Also, we initiate the idea of generalized pre-open set in Fermatean Neutrosophic Hypersoft topological spaces and its characterizations are analyzed.

    Keywords :

    FNH generalized pre-closed , FNH generalized  , pre-open , FNH topology.

    References

    [1]  Ajay  D and  Charisma  J. J, “Neutrosophic hypersoft topological spaces”, Neutrosophic Sets and Systems, vol. 40, pp. 179–194, 2021.

    [2]   Antony Crispin Sweety and Jansi R, “Fermatean  neutrosophic sets”, International Journal of Advance Research in Computer and Communication Engineering, vol. 10, pp. 24–27, 2021. 

    [3]  Broumi  S,  Sundareswaran  R,  Shanmugapriya  M,  Nordo  G,  Talea  M,  Bakali  A  and Smarandache  F,  Interval  valued  Fermatean  Neutrosophic  Graphs,  Decision  making: Applications in Management and Engineering, 5(2), 176-200, 2022. 

    [4]  Iswarya  P  and  Bageerathi  K,  “On  neutrosophic  semi-open  sets  in  neutrosophic  topological spaces”,  International Journal of Mathematics Trends and Technology, vol. 37, pp. 214 –223,2016.

    [5]  Molodtsov  D,  “Soft  set  theory-first  results”,  Computers  &  Mathematics  with  Applications, vol. 37, no. 4-5, pp. 19–31, 1999.

    [6]  Rajarajeswari  P and  Senthil Kumar  L, “Generalized Pre-  Closed sets in Intuitionistic Fuzzy topological  spaces”.  International  Journal  of  Fuzzy  Mathematics  and  Systems,  vol.  1,  pp. 253– 262, 2011.

    [7]  Reena Joice  P and  Trinita Pricilla  M, “An introduction to Fermatean neutrosophic hypersoft topological  spaces”,  International  Journal  of  Creative  and  Research  Thoughts,  vol.  10,  pp. 424–433, 2022.

    [8]  Salama  A.  A  and  Alblowi  S.  A,  “Neutrosophic  set  and  neutrosophic  topological  spaces”,IOSR Journal of Mathematics, vol. 3, no. 4, pp. 31 –35, 2012.

    [9]  Senapati  T  and  Yager  R.  R,  “Fermatean  fuzzy  sets”,  Journal  of  Ambient  Intelligence  andHumanized Computing 11, 663-674, 2020. 

    [10]  Smarandache F, “Extension of soft set to hypersoft set and then to plithogenic hypersoft set”,Neutrosophic Sets and Systems, vol. 22, pp. 168–170, 2018.

    [11]  Smarandache  F,  “A  unifying  Field  of  Logics.  Neutrosophy:  Neutrosophic  Probability,  Set and Logic”, American Research Press, Rehoboth, MA, USA, 1998. 

    Cite This Article As :
    Reena, P.. , Trinita, M.. , Broumi, S.. Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 82-97. DOI: https://doi.org/10.54216/IJNS.200308
    Reena, P. Trinita, M. Broumi, S. (2023). Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science, (), 82-97. DOI: https://doi.org/10.54216/IJNS.200308
    Reena, P.. Trinita, M.. Broumi, S.. Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science , no. (2023): 82-97. DOI: https://doi.org/10.54216/IJNS.200308
    Reena, P. , Trinita, M. , Broumi, S. (2023) . Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science , () , 82-97 . DOI: https://doi.org/10.54216/IJNS.200308
    Reena P. , Trinita M. , Broumi S. [2023]. Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science. (): 82-97. DOI: https://doi.org/10.54216/IJNS.200308
    Reena, P. Trinita, M. Broumi, S. "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 82-97, 2023. DOI: https://doi.org/10.54216/IJNS.200308

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