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Issue:Interval-valued intuitionistic fuzzy topological groups: Some properties

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Title of paper: Interval-valued intuitionistic fuzzy topological groups: Some properties
Author(s):
R. Santhi
PG and Research Department of Mathematics, Nallamuthu Gounder Mahalingam College, Palakkad Road, Pollachi, Tamil Nadu, India-642001
santhir@ngmc.org
N. Udhayarani
Department of Mathematics, Nallamuthu Gounder Mahalingam College, Palakkad Road, Pollachi, Tamil Nadu, India-642001
udhayaranin@gmail.com
Presented at: Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 343–350
DOI: https://doi.org/10.7546/nifs.2023.29.4.343-350
Download:  PDF (279  Kb, File info)
Abstract: In this study, we introduce the concepts of interval-valued intuitionistic fuzzy group (abbreviated IVIFG), interval-valued intuitionistic fuzzy topological group (abbreviated IVIFTG), and interval-valued intuitionistic fuzzy product topology (abbreviated IVIFPT). We delve into the fundamental features of IVIFG, IVIFTG, and IVIFPT in further detail. The characterization of IVIFG and IVIFTG is examined using the concepts of interval-valued intuitionistic fuzzy continuous (abbreviated as IVIF-continuous) and interval-valued intuitionistic fuzzy relatively continuous (abbreviated as IVIF-relatively continuous).
Keywords: Interval-valued intuitionistic fuzzy sets, IVIF-topology, IVIF-group, IVIF-topological group, IVIF-product topology, IVIF-product topological group.
AMS Classification: Primary 54A05, 03E72, 20N25; Secondary 54A40.
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