A New Class of Generalized Closed Sets in Pentapartitioned Neutrosophic Topological Spaces

S Jackson; J Sivasankar

doi:10.17485/IJST/v17sp1.113

Article

A New Class of Generalized Closed Sets in Pentapartitioned Neutrosophic Topological Spaces

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.113

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 14-20

Original Article

A New Class of Generalized Closed Sets in Pentapartitioned Neutrosophic Topological Spaces

S Jackson^1*, J Sivasankar²

¹Assistant Professor, PG and Research Department of Mathematics, V. O. Chidambaram College, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, Thoothukudi, 628 008, Tamil Nadu, India
²Research Scholar (Register number: 22212232091009), PG and Research Department of Mathematics, V. O. Chidambaram College, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, Thoothukudi, 628 008, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:25 May 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: The motive of this research paper is to give a new notion called Pentapartitioned Neutrosophic Generalized Pre Open and Closed sets. Methods: To get the Pentapartitioned Neutrosophic Generalized Pre Open and Closed sets, PN topology is needed. Further, there is a need to find the Pre Open and Pre Closed sets and then we use our definition to get the required objective. Findings: The Pentapartitioned Neutrosophic Generalized Pre sets give a more finer collection of weak sets. Moreover, we can find the interior, exterior, and frontier of the resultant set. Novelty: Finding the generalized part of Pentapartitioned Neutrosophic sets is a subtle work to do. So, the investigation procedure of its characterization is an interesting aspect.

Keywords: Pentapartitioned Neutrosophic Generalized Pre Closed Set, Pentapartitioned Neutrosophic Frontier, Pentapartitioned Neutrosophic Pre Frontier of a Pentapartitioned Neutrosophic Set, Pentapartitioned Neutrosophic Set and Pentapartitioned Neutrosophic Pre

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Copyright

© 2024 Jackson & Sivasankar. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)