Topology on Rough Pentapartitioned Neutrosophic 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.

Convergence of Neutrosophic Random Variables

“…[26], [27], [28], [1]. For more concepts associated to neutrosophic theory, we refer the reader to [15,17,9,16,18,10].…”

A Note on Separation Axioms in Kasaj Topological Spaces

“…In 2021, Abdelwaheb Mhemdi, Tareq M. Al-shami (1) introduced the concept of functionally separation axioms on general topology. In 2021 Das & Pramanik (2) introduced the concept of ultra neutrosophic set. In 2022, Das and Tripathy (3) introduced the concept of separation axioms on spatial topological spaces.…”

“…In 2022, Das and Tripathy (3) introduced the concept of separation axioms on spatial topological spaces. In 2022, Das and Tripathy, (4) introduced the concept of rough pentapartioned neutrosophic set. In 2022, Das &Tripathy (5) introduced the concept of neutrosophic pre-I-open set.…”