Issue:Modifications of the Goguen's intuitionistic fuzzy implication

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Title of paper: Modifications of the Goguen's intuitionistic fuzzy implication Author(s): Janusz Kacprzyk Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland kacprzyk@ibspan.waw.pl Katarína Čunderlíková Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia cunderlikova.lendelova@gmail.com Nora Angelova Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria noraa@fmi.uni-sofia.bg Krassimir Atanassov Dept. 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 Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 4, pages 20-29 DOI: https://doi.org/10.7546/nifs.2021.27.4.20-29 Download:  PDF (170  Kb, File info) Abstract: On the basis of the Goguen’s intuitionistic fuzzy implication, seven of its modifications are constructed. Some of their basic properties are studied. The negations, generated by these implications are introduced and some of their properties are also described. Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Goguen’s fuzzy implication. AMS Classification: 03E72. References: 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., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170. Angelova, N., & Stoenchev, M. (2017). Intuitionistic fuzzy conjunctions and disjunctions from third type. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41. Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12(1), 117–122. Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham. Atanassov, K., Angelova, N., & Atanassova, V. (2021). On an Intuitionistic Fuzzy Form of the Goguen’s Implication. Mathematics, 9(6), Article No. 676. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13. Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris. Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey. Mendelson, E. (1964). Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand. Michalíková, A., Szmidt, E., & Vassilev, P. (2021). Modifications of Łukasiewicz's intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27(3), 32–39. Citations: Issue:The Hauber's law with intuitionistic fuzzy implications ‎ (← links) Issue:Intuitionistic fuzzy interpretations of formula (A → B) → ((¬A → B) → B) ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.