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Issue:Intuitionistic fuzzy normal bi-topological space-approach of intuitionistic fuzzy open sets

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Title of paper: Intuitionistic fuzzy normal bi-topological space-approach of intuitionistic fuzzy open sets
Author(s):
Saikh Shahjahan Miah
Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail-1902, Bangladesh
skhshahjahan@gmail.com
Jewel Miah
Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail-1902, Bangladesh
ranajewel29889@gmail.com
Ruhul Amin
Department of Mathematics, Faculty of Science, Begum Rokeya University, Rangpur-5404, Bangladesh
ruhulamin@brur.ac.bd
Nigar Sultana
Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University, Tangail-1902, Bangladesh
Department of Mathematics, North Carolina State University, Raleigh, NC, United States
nsultan4@ncsu.edu
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 230–241
DOI: https://doi.org/10.7546/nifs.2024.30.3.230-241
Download:  PDF (231  Kb, File info)
Abstract: This paper provides nine newly proposed notions of intuitionistic fuzzy normal bi-topological spaces (IFNBTS) based on the concept of most explored field fuzzy bi-topological spaces using intuitionistic fuzzy open sets (IFOS). Further, the authors establish implications among the prescribed notions and show that these notions are good extensions of normal and fuzzy normal bi-topological spaces. Finally, the authors study the image and pre-image of IFNBTS, demonstrating that they are also IFNBTS in the sense of IFOS.
Keywords: Intuitionistic fuzzy set (IFS), Intuitionistic fuzzy topological space (IFTS), Intuitionistic fuzzy bi-topological space, Intuitionistic fuzzy normal bi- topological space (IFNBTS)
AMS Classification: 03E72, 54A40, 94D05.
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