International Journal of Management IT and Engineering
  • Year: 2022
  • Volume: 12
  • Issue: 12

Base, sub-base and quasi neighburhood in intuitionistic fuzzy topological space

  • Author:
  • Biren Chandra Gorain1, S. N. Adhikary2, R. K. Das3
  • Total Page Count: 13
  • Page Number: 87 to 99

1Research Scholar, University Department of Mathematics, S.K.M. University, Dumka, Jharkhand, India, birengorain08@gmail.com

2Head, University Department of Mathematics, S.K.M. University, Dumka, Jharkhand, India, snadhikary12@gmail.com

3University Department of Mathematics, S.K.M. University, Dumka, Jharkhand, India

Online published on 1 September, 2023.

Abstract

Fuzzy topology was developed by many authors. The intuitionistic fuzzy sets were introduced by Atanassov (1986) as a generalization of fuzzy sets by L. A. Zadeh (1965). The paper is therefore addressed to the introduction of the concept of base, sub-base, subspace, closure, interior and quasi neighbourhood in intuitionistic fuzzy topology developed by Kumar and Das (2019).

Keywords

Intuitionistic fuzzy sets, Intuitionistic fuzzy topology, Fuzzy point, Q-neighbourhood