Issue:Research on intuitionistic fuzzy implications. Part 5

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Title of paper: Research on intuitionistic fuzzy implications. Part 5 Author(s): Nora Angelova     0000-0003-2697-9766 Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria noraa@fmi.uni-sofia.bg Janusz Kacprzyk     0000-0003-4187-5877 System Research Institute, Polish Academy of Sciences, Newelska, 6, 01-447, Warsaw, Poland janusz.kacprzyk@ibspan.waw.pl Krassimir Atanassov     0000-0001-5625-071X Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria krat@bas.bg , k.t.atanassov@gmail.com Vassia Atanassova     0000-0002-3626-9461 Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria vassia.atanassova@gmail.com Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 133–143 DOI: https://doi.org/10.7546/nifs.32.2.133-143 Download:  PDF (157  Kb, File info) Abstract: 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. Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy pair. AMS Classification: 03E72. References: 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. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.