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Issue:Connectedness concept in intuitionistic fuzzy topological spaces

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Title of paper: Connectedness concept in intuitionistic fuzzy topological spaces
Author(s):
Md. Aman Mahbub
Department of Mathematics, Comilla University, Newelska 6, 01 – 447 Warsaw, Poland
rinko.math@gmail.com
Md. Sahadat Hossain
Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh
sahadat@ru.ac.bd
M. Altab Hossain
Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh
al_math_bd@ru.ac.bd
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 72–82
DOI: https://doi.org/10.7546/nifs.2021.27.1.72-82
Download:  PDF (799  Kb, File info)
Abstract: The purpose of this paper is to establish the connectedness in intuitionistic fuzzy topological space. In this paper we give six notions of separatedness, connectedness and total connectedness and one notion of T1-space in intuitionistic fuzzy topological space. Also, we find a relation between classical topology and intuitionistic fuzzy topology. Further, we show that connectedness in intuitionistic fuzzy topological spaces are productive and we demonstrate some of its features.
Keywords: Fuzzy set, Intuitionistic fuzzy set, Intuitionistic topological space, Intuitionistic fuzzy topological space, Intuitionistic fuzzy connectedness, Intuitionistic fuzzy T1-space.
AMS Classification: 03E72
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