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Issue:On (r, s)-connectedness in intuitionistic fuzzy topological spaces

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Title of paper: On (r, s)-connectedness in intuitionistic fuzzy topological spaces
Author(s):
Md. Aman Mahbub
Department of Mathematics, Comilla University, Comilla-3506, Bangladesh
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 28 (2022), Number 1, pages 23–36
DOI: https://doi.org/10.7546/nifs.2022.28.1.23-36
Download:  PDF (991  Kb, File info)
Abstract: The aim of this paper is to establish the (r, s)-connectedness in intuitionistic fuzzy topological space. Here we give two new notions of (r, s)-connectedness and total (r, s)-connectedness in intuitionistic fuzzy topological space. Also, we find a relation about classical topology and intuitionistic fuzzy topology. Furthermore, using some provisos we will show that (r, s)-connectedness in intuitionistic fuzzy topological spaces are productive and some of its features.
Keywords: Fuzzy set, Intuitionistic fuzzy set, Intuitionistic topological space, Intuitionistic fuzzy topological space.
AMS Classification: 03E72
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