Neutrosophic bipolar vague binary topological space

Abstract

In this paper, we make an interesting connection between the mathematical approaches to vagueness and the bipolar binary set. The concept of bipolar binary sets over two universal sets. To eliminate ambiguity in a data set, bipolarity is primarily introduced in imprecise binary sets. This article's main objective is to familiarize the reader with the novel concept of a neutrosophic bipolar vague binary set. We also discuss operations like ‘union’, ‘intersection’ and ‘complement’. The concepts of neutrosophic bipolar vague binary topology, zero, unit, open and closed set, neutrosophic bipolar vague binary ‘????-open’ and ‘????-closed’ sets are introduced and their properties are also discussed. Furthermore, the neutrosophic bipolar vague binary ‘b-interior’ and ‘b-closure’ set are defined. Theorems related to these concepts are stated and proved.

Keywords

• bipolar binary set, neutrosophic bipolar vague binary ???? -open and ???? -closed, interior, closure