| Title of paper:
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Intuitionistic fuzzy temporal operators and temporal topological structures
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| Author(s):
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 105, 1113 Sofia, Bulgaria
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| krat@bas.bg , k.t.atanassov@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 4, pages 285–296
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.4.285-296
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| Download:
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 PDF (240 Kb, File info)
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| Abstract:
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A new, general approach to introducing the concept of a Temporal Topological Structure (TTS) is given. The basic properties of the TTS are studied. The TTSs are illustrated by intuitionistic fuzzy objects – temporal intuitionistic fuzzy sets, intuitionistic fuzzy operations (standard and temporal ones), intuitionistic fuzzy relations and intuitionistic fuzzy operators (topological and temporal ones). In total, four different intuitionistic fuzzy TTSs and twelve intuitionistic fuzzy feeble TTSs are described in this paper.
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| Keywords:
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Intuitionistic fuzzy set, Intuitionistic fuzzy temporal structure, Temporal intuitionistic fuzzy set.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (1991). Temporal intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, 44(7), 5–7.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
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- Atanassov, K. (2022). On the intuitionistic fuzzy modal feeble topological structures. Notes on Intuitionistic Fuzzy Sets, 28 (3), 211–222.
- Atanassov, K. (2023). On intuitionistic fuzzy temporal topological structures. Axioms, 12, Article ID 182.
- Atanassov, K. (2024). A general approach to modal topological structures illustrated by intuitionistic fuzzy objects. Notes on Intuitionistic Fuzzy Sets, 30(3), 260–284.
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