| Title of paper:
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Research on intuitionistic fuzzy implications. Part 5
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| Author(s):
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Nora Angelova  0000-0003-2697-9766
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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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| Janusz Kacprzyk 0000-0003-4187-5877
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| System Research Institute, Polish Academy of Sciences, Newelska, 6, 01-447, Warsaw, Poland
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| janusz.kacprzyk@ibspan.waw.pl
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| Krassimir Atanassov 0000-0001-5625-071X
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| Department 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 , k.t.atanassov@gmail.com
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| Vassia Atanassova 0000-0002-3626-9461
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| Department 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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| vassia.atanassova@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 133–143
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| DOI:
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https://doi.org/10.7546/nifs.32.2.133-143
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| Download:
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 PDF (157 Kb, File info)
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| Abstract:
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Continuing the research from four previous papers of the authors, here we check the validity of the two tautologies from the two tautologies of propositional logic
((A → B) & (A → C)) → (A → (B & C)),
((B ∨ C) → A) → ((B → A) ∨ (C → A))
and give the list of the intuitionistic fuzzy implications that satisfy these two formulas.
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| Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy pair.
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| AMS Classification:
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03E72.
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| References:
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- Angelova, N., & Atanassov, K. (2021). Research on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
- Angelova, N., Atanassov, K., & Atanassova, V. (2022). Research on intuitionistic fuzzy implications. Part 2. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
- Angelova, N., Atanassova, V., & Atanassov, K. (2023). Research on intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 29(4), 365–370.
- Angelova, N., Atanassov, K., & Atanassova, V. (2024). Research on intuitionistic fuzzy implications. Part 4. Notes on Intuitionistic Fuzzy Sets, 30(1), 1–8.
- Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists, 8, 1–17 (in Bulgarian).
- Angelova, N., & Stoenchev, M. (2017). Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
- Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170.
- Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
- Hodas, J. (1994). Logic programming with multiple context management schemes. In: Lecture Notes in Artificial Intelligence (Vol. 798, pp. 171–182). Springer.
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