| Title of paper:
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Intuitionistic fuzzy interpretations of formula (A → B) → ((¬A → B) → B)
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| Author(s):
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| Nora Angelova
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| Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
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| noraa@fmi.uni-sofia.bg
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Eulalia Szmidt
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
Warsaw School of Information Technology, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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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, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Presented at:
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International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 428–435
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| DOI:
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https://doi.org/10.7546/nifs.2022.28.4.428-435
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| Download:
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 PDF (155 Kb, Info)
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| Abstract:
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One of the essential formulas of the classical mathematical logic is (A → B) → ((¬A → B) → B). In the present paper, its intuitionistic fuzzy interpretation is introduced, and lists of all defined intuitionistic fuzzy implications that satisfy it as a tautology and an intuitionistic fuzzy tautology are given.
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| Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy logic.
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| AMS Classification:
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03E72.
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| References:
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- Angelova, N. (2019) IFSTOOL – Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators, Advances in Intelligent Systems and Computing, issue:1081, Springer, 76–81.
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- Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.
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