Issue:The Hauber's law with intuitionistic fuzzy implications

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Title of paper: The Hauber’s law with intuitionistic fuzzy implications Author(s): Nora Angelova Faculty of Mathematics and Informatics, Sofia University,, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria nora.angelova@fmi.uni-sofia.bg Janusz Kacprzyk 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 kacprzyk@ibspan.waw.pl Alžbeta Michalíková Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banska Bystrica, Slovakia Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, Banska Bystrica, Slovakia alzbeta.michalikova@umb.sk Krassimir Atanassov Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Block 105, 1113 Sofia, Bulgaria krat@bas.bg Presented at: 25th ICIFS, Sofia, 9—10 September 2022 Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 3, pages 271–279 DOI: https://doi.org/10.7546/nifs.2022.28.3.271-279 Download:  PDF (137  Kb, File info) Abstract: 25 years ago, in [7], it was proved that the Hauber's law is an intuitionistic fuzzy tautology. In this case, the used implication was the standard intuitionistic fuzzy one. In the present paper, we check which intuitionistic fuzzy implications, defined during these 25 years, satisfy the Hauber's law as a tautology and which if them – as an intuitionistic fuzzy tautology. Keywords: Hauber's law, Intuitionistic fuzzy implication, Intuitionistic fuzzy tautology, Tautology. 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. (2021). Research on intuitionistic fuzzy negations. Notes on Intuitionistic Fuzzy Sets, 27(3), 18–31. 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., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists in Bulgaria, 8, 1–17. 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. (1997). The Hauber's law is an intuitionistic fuzzy tautology. Notes on Intuitionistic Fuzzy Sets, 3(2), 82–84. Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13. Kacprzyk, J., Cunderlikova, K., Angelova, N., & Atanassov, K. (2021). Modifications of the Goguen's intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27(4), 20–29. Mendelson, E. (1964). Introduction to Mathematical Logic. Princeton, NJ: D. Van Nostrand. 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.