| Title of paper:
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Properties of intuitionistic fuzzy implication →177
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| Author(s):
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| Beloslav Riečan
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Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, SK–81473 Bratislava, Slovakia
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| riecan@fpv.umb.sk
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| Krassimir Atanassov
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Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria
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| krat@bas.bg
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 4, pages 153–156
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| Download:
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 PDF (114 Kb, File info)
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| Abstract:
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Some basic properties of the intuitionistic fuzzy implication →177 are formulated and checked.
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| Keywords:
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Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. T. (1988) Two Variants of Intuitionistic Fuzzy Propositional Calculus, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, Preprint IM-MFAIS-5-88. Reprinted: Int. J. Bioautomation, Vol. 19, 2015, Suppl. 2, S146–S155.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K. (2015) On a New Intuitionistic Fuzzy Implication. Proc. of 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1592–1597.
- Atanassov, K., E. Szmidt, & J. Kacprzyk (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian).
- Rasiowa H., & R. Sikorski (1963) The Mathematics of Metamathematics, Polska Akademia Nauk, Warszawa.
- Implications over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_implications
- Negations over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_negations
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