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Issue:A general approach to modal topological structures illustrated by intuitionistic fuzzy objects

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Title of paper: A general approach to modal topological structures illustrated by intuitionistic fuzzy objects
Author(s):
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineerings, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 105, Sofia 1113, Bulgaria
krat@bas.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 260–284
DOI: https://doi.org/10.7546/nifs.2024.30.3.260-284
Download:  PDF (251  Kb, File info)
Abstract: A new, general approach to introducing of the concept of a Modal Topological Structure (MTS) is given. The basic properties of the MTS are studied. The MTSs are illustrated by intuitionistic fuzzy objects - intuitionistic fuzzy sets, operations, relations and operators. So, 38 different intuitionistic fuzzy MTSs are described.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy modal topological structure.
AMS Classification: 03E72
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