Summary
Definitions of 174 intuitionistic fuzzy logic implications are introduced. Some of their properties are studied and some open problems, related to them are formulated.
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References
K. Atanassov. Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
K. Atanassov. Intuitionistic Fuzzy Sets. Springer Physica, Heidelberg, 1999.
K. Atanassov. Intuitionistic fuzzy implications and Modus Ponens. Notes on Intuitionistic Fuzzy Sets, 11(1), 2005, 1–5.
K. Atanassov. A new intuitionistic fuzzy implication from a modal type. Advanced Studies in Contemporary Mathematics, 12(1), 2006, 117–122.
K. Atanassov. On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59(1), 2006, 19–24.
K. Atanassov. On eight new intuitionistic fuzzy implications. Proceedings of IEEE Conference “Intelligent Systems’06”, London, 5–7 Sept. 2006, 741–746.
K. Atanassov. On the implications and negations over intuitionistic fuzzy sets. Proceedings of the Scientific Conf. of Burgas Free University, Burgas, 9–11 June 2006, Vol. III, 374–384.
K. Atanassov and B. Kolev. On an intuitionistic fuzzy implication from a possibilistic type. Advanced Studies in Contemporary Mathematics, 12(1), 2006, 111–116.
K. Atanassov and T. Trifonov, On a new intuitionistic fuzzy implication from Gödel’s type. Proceedings of the Jangjeon Mathematical Society, 8(2), 2005, 147–152.
K. Atanassov and T. Trifonov, Two new intuitionistic fuzzy implications. Advanced Studies in Contemporary Mathematics, 13(1), 2006, 69–74.
R. Feys. Modal Logics. Gauthier-Villars, Paris, 1965.
G. Klir and Bo Yuan. Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
H. Rasiova and R. Sikorski. The Mathematics of Metamathematics, Warszawa, Polish Academy of Science, 1963.
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Atanassov, K.T. (2008). On the Intuitionistic Fuzzy Implications and Negations. In: Chountas, P., Petrounias, I., Kacprzyk, J. (eds) Intelligent Techniques and Tools for Novel System Architectures. Studies in Computational Intelligence, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77623-9_22
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DOI: https://doi.org/10.1007/978-3-540-77623-9_22
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