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International Journal of Neutrosophic Science
Volume 20 , Issue 4, PP: 235-240 , 2023 | Cite this article as | XML | Html |PDF

Title

A Study on various Pentapartitioned Neutrosophic generalized closed sets

  Subasree R. 1 * ,   Basari Kodi K. 2 ,   Sathikala L. 3 ,   Subramanian K. 4

1  Department of Mathematics, Ramco Institute of Technology, Rajapalayam, Tamilnadu, India
    (subasree@ritrjpm.ac.in)

2  Department of Mathematics, Ramco Institute of Technology, Rajapalayam, Tamilnadu, India
    (basarikodi@ritrjpm.ac.in)

3  Department of Mathematics, Ramco Institute of Technology, Rajapalayam, Tamilnadu, India
    (sathikala@ritrjpm.ac.in)

4  Department of Mathematics, Ramco Institute of Technology, Rajapalayam, Tamilnadu, India
    (subramanian@ritrjpm.ac.in)

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Doi   :   https://doi.org/10.54216/IJNS.200419

Received: December 22, 2022 Accepted: April 22, 2023

Abstract :

The purpose of this paper is to introduce the concept of various Pentapartitioned neutrosophic generalized closed sets such as PNg-closed set, PNω-closed set, PNgb-closed set in Pentapartitioned Neutrosophic Topological spaces. We also study some of their properties with counter examples.

 

Keywords :

Pentapartitioned neutrosophic set; PNg-closed set; PNω-closed set; PNgb-closed set.

References :

[1] A. A. Salama, I.M.Hanafy, Hewayda ElGhawalby and M.S.Dabash, Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions, to be published in the book titled, New Trends in Neutrosophic Theories and Applications, Publisher Europa Nova, Brussels, 2016. [2] A. A. Salama.(2015). Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology, Neutrosophic Sets and Systems, vol. 7, 2015, pp. 18-22. [3] A. A. Salama, F.Smarandache (2015). Neutrosophic Crisp Set Theory, Educational. Education Publishing 1313 Chesapeake, Avenue, Columbus, Ohio 43212. [4] A. A. Salama, Florentin Smarandache, Valeri Kromov. (2014). Neutrosophic Closed Set and Neutrosophic Continuous Functions, Neutrosophic Sets and Systems, vol. 4, 2014,pp.4-8.

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

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[12] Florentin Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

[13] Maheswari C and Chandrasekar S, Neutrosophic gb-closed Sets and Neutrosophic gb-Continuity, Neutrosophic Sets and Systems, Vol. 29, 2019, 89-100.

[14] Radha R and Stanis Arul Mary A, Pentapartitioned Neutrosophic Generalized Semi-closed sets, Journal of Computational Mathematica,5(1), 2021:123-131.

[15] Rama Malik, Surapati Pramanik. Pentapartitioned Neutrosophic set and its properties, Neutrosophic Sets and Systems, 2020, Vol 36, 184-192, 2020.

[16] Santhi R and Udhayarani N, Nω– closed sets in Neutrosophic Topological spaces, Neutrosophic sets and systems, Volume 12, 2016, 114-117.

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[18] Zadeh L. A, Fuzzy sets, Inform. and Control 8 (1965).

Cite this Article as :
Style #
MLA Subasree R., Basari Kodi K., Sathikala L., Subramanian K.. "A Study on various Pentapartitioned Neutrosophic generalized closed sets." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
APA Subasree R., Basari Kodi K., Sathikala L., Subramanian K.. (2023). A Study on various Pentapartitioned Neutrosophic generalized closed sets. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
Chicago Subasree R., Basari Kodi K., Sathikala L., Subramanian K.. "A Study on various Pentapartitioned Neutrosophic generalized closed sets." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
Harvard Subasree R., Basari Kodi K., Sathikala L., Subramanian K.. (2023). A Study on various Pentapartitioned Neutrosophic generalized closed sets. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
Vancouver Subasree R., Basari Kodi K., Sathikala L., Subramanian K.. A Study on various Pentapartitioned Neutrosophic generalized closed sets. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
IEEE Subasree R., Basari Kodi K., Sathikala L., Subramanian K., A Study on various Pentapartitioned Neutrosophic generalized closed sets, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 235-240 (Doi   :  https://doi.org/10.54216/IJNS.200419)
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