Issue:A property of the intuitionistic fuzzy implications

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Title of paper: A property of the intuitionistic fuzzy implications Author(s): 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 18 (2012) Number 2, pages 1—12 Download:  PDF (136  Kb, File info) Abstract: It is checked which intuitionistic fuzzy implications satisfy the equality x → y = x → (x → y). Keywords: Implication, Intuitionistic fuzzy set, Operation. AMS Classification: 03E72 References: Atanassov, K. Intuitionistic Fuzzy Sets, Heidelberg, Springer, 1999. Atanassov, K. Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 3, 11–14. Atanassov, K., D. Dimitrov. Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20. Chen, J., S. Kundu. A sound and complete fuzzy logic system using Zadeh’s implication operator. Lecture Notes in Computer Science, Vol. 1079, 1996, 233–242. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995. Shi, Y., D. Ruan, E. Kerre. On the characterizations of fuzzy implications satisfying I(x, y) = I(x, I(x, y)). Information Science, Vol. 177, 2007. No. 14, 2954–2970. 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.