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International Journal of Management IT and Engineering
Year : 2022, Volume : 12, Issue : 12
First page : ( 87) Last page : ( 99)
Online ISSN : 2249-0558.

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

Gorain Biren Chandra1, Adhikary S. N.2, Das R. K.3

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).

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Keywords

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

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