| Title of paper:
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On a special type of intuitionistic fuzzy implications
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| Author(s):
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| Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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| krat@bas.bg
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| Guy De Tré
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| Department of Telecommunications and Information Processing Database, Document and Content Management, St.-Pietersnieuwstraat 41, B9000, Belgium
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| guy.detre@ugent.be
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| Nora Angelova
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| Faculty of Mathematics and Informatics, Sofia University, 5, James Bourchier Blvd. 1164 Sofia, Bulgaria
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| metida.su@gmail.com
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 4, pages 2—9
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| Download:
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 PDF (146 Kb Kb, File info)
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| Abstract:
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The concept of a tautologically asymmetric intuitionistic fuzzy implication is introduced and the list of all implications with this property are given. Open problems are formulated.
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| Keywords:
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Implication, Intuitionistic fuzzy implication, Intuitionistic fuzzy logic.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. (1988). Two variants of intuitionistic fuzzy propositional calculus, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS-5-88. Reprinted: Int J Bioautomation, 2016, 20(S1), S17–S26.
- 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.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2015) Issue:On Fodor’s type of intuitionistic fuzzy implication and negation, Notes on Intuitionistic Fuzzy Sets, 21(2), 25–34.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) On intuitionistic fuzzy implication →187, Notes on Intuitionistic Fuzzy Sets, 23(2), 37–43.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) On intuitionistic fuzzy implication →188, Notes on Intuitionistic Fuzzy Sets, 23(1), 6–13.
- Faith, C. (1973) Algebra: Rings, Modules and Categories, Vol. 1, Springer, Berlin.
- Gries, D., & Schneider, F. (1993) A Logical Approach to Discrete Math, Springer, New York.
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