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International Journal of Neutrosophic Science
Volume 20 , Issue 3, PP: 82-97 , 2023 | Cite this article as | XML | Html |PDF

Title

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)

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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. 

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[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 :
Style #
MLA P. Reena Joice, M. Trinita Pricilla, S. Broumi. "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science, Vol. 20, No. 3, 2023 ,PP. 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
APA P. Reena Joice, M. Trinita Pricilla, S. Broumi. (2023). Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
Chicago P. Reena Joice, M. Trinita Pricilla, S. Broumi. "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces." Journal of International Journal of Neutrosophic Science, 20 no. 3 (2023): 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
Harvard P. Reena Joice, M. Trinita Pricilla, S. Broumi. (2023). Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
Vancouver P. Reena Joice, M. Trinita Pricilla, S. Broumi. Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 3 ): 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
IEEE P. Reena Joice, M. Trinita Pricilla, S. Broumi, Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 3 , (2023) : 82-97 (Doi   :  https://doi.org/10.54216/IJNS.200308)
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