International Journal of Fuzzy Mathematical Archive
  • Year: 2021
  • Volume: 19
  • Issue: 2

On Intuitionistic Fuzzy r-Regular Spaces

1Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Trishal, Mymensingh, Bangladesh, E-mail: saifulmath@yahoo.com

2Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh

3Department of Mathematics, Comilla University, Comilla, Bangladesh, E-mail: rinko.math@gmail.com

*Corresponding author Email: sahadat@ru.ac.bd

Online Published on 28 June, 2023.

Abstract

The purpose of this paper is to give some new notions of intuitionistic fuzzy regular spaces and investigate the relationship among them. Also the relations between our notions and other given notion of intuitionistic fuzzy regular spaces have been investigated. Moreover it is shown that all these notions satisfy hereditary property of regular spaces. Finally it is shown that under some conditions image and preimage preserve intuitionistic fuzzy regular spaces.

Keywords

Fuzzy set, Intuitionistic fuzzy set, Intuitionistic fuzzy topological space, Intuitionistic fuzzy regular space