Neutrosophic bipolar vague binary topological space

Authors

  • S. Yahya Mohamed Government Arts College, Affiliated to Bharathidasan University
  • A S Tamilselvi Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli – 620 022, India
  • G Srividhya Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli – 620 022, India, Tiruchirappalli-620 022, India;

DOI:

https://doi.org/10.23755/rm.v50i0.1544

Keywords:

Bipolar binary set, Neutrosophic bipolar vague binary ???? -open and ???? -closed, interior, closure

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.

Author Biographies

  • S. Yahya Mohamed, Government Arts College, Affiliated to Bharathidasan University

    Asst. Professor (Selection Grade)

    PG & Research Department of Mathematics,

    Government Arts College, Trichy-22,

    Tamil Nadu,India

  • A S Tamilselvi, Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli – 620 022, India
    Research Scholar, Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli – 620 022, India

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Published

2023-12-29

Issue

Vol. 50 (2023): SPECIAL ISSUE: RECENT INNOVATIONS IN APPLICATIONS OF MATHEMATICS

Section

Volume 50-2023

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