Topology on Rough Pentapartitioned Neutrosophic Set

Suman  Das; Rakhal  Das; Binod Chandra  Tripathy

doi:10.24996/ijs.2022.63.6.28

Authors

Suman Das Department of Mathematics, Tripura University, Agartala-799022, Tripura, India
Rakhal Das Department of Mathematics, Tripura University, Agartala-799022, Tripura, India https://orcid.org/0000-0002-0895-2976
Binod Chandra Tripathy Department of Mathematics, Tripura University, Agartala-799022, Tripura, India

DOI:

https://doi.org/10.24996/ijs.2022.63.6.28

Keywords:

Neutrosophic Set, Pentapartitioned Neutrosophic Set, Rough Pentapartitioned Neutrosophic Set, RPNT-space, RPNO-set

Abstract

The main focus of this article is to introduce the notion of rough pentapartitioned neutrosophic set and rough pentapartitioned neutrosophic topology by using rough pentapartitioned neutrosophic lower approximation, rough pentapartitioned neutrosophic upper approximation, and rough pentapartitioned neutrosophic boundary region. Then, we provide some basic properties, namely operations on rough pentapartitioned neutrosophic set and rough pentapartitioned neutrosophic topology. By defining rough pentapartitioned neutrosophic set and topology, we formulate some results in the form of theorems, propositions, etc. Further, we give some examples to justify the definitions introduced in this article.