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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 20 • Issue 3 • PP: 82-97 • 2023

Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces

P. Reena Joice 1*
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,
M. Trinita Pricilla 1
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,
S. Broumi 2
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1Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India
2Information Processing, Faculty of Science Ben M’Sik, University, Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.200308
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: October 05, 2022 Accepted: March 03, 2023
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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&nbsp 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

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Joice, P. Reena, Pricilla, M. Trinita, Broumi, S.. "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, 2023, pp. 82-97. DOI: https://doi.org/10.54216/IJNS.200308
Joice, P., Pricilla, M., Broumi, S. (2023). Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science, Volume 20(Issue 3), 82-97. DOI: https://doi.org/10.54216/IJNS.200308
Joice, P. Reena, Pricilla, M. Trinita, Broumi, S.. "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science Volume 20, no. Issue 3 (2023): 82-97. DOI: https://doi.org/10.54216/IJNS.200308
Joice, P., Pricilla, M., Broumi, S. (2023) 'Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces', International Journal of Neutrosophic Science, Volume 20(Issue 3), pp. 82-97. DOI: https://doi.org/10.54216/IJNS.200308
Joice P, Pricilla M, Broumi S. Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 3):82-97. DOI: https://doi.org/10.54216/IJNS.200308
P. Joice, M. Pricilla, S. Broumi, "Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, pp. 82-97, 2023. DOI: https://doi.org/10.54216/IJNS.200308
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