| Title of paper:
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Properties of Fodor's intuitionistic fuzzy implication and negation
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| Author(s):
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| Eulalia Szmidt
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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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 6–12
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| Download:
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 PDF (128 Kb, File info)
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| Abstract:
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Some basic properties of Fodor's intuitionistic fuzzy implication and negation 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. (2006) On intuitionistic fuzzy negations and De Morgan Laws. Proc. of Eleventh International Conf. IPMU 2006, Paris, July 2–7, 2399–2404.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets, Springer, Berlin.
- Atanassov, K., E. Szmidt, & J. Kacprzyk (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Atanassov, K., E. Szmidt, & J. Kacprzyk (2015) On Fodors type of intuitionistic fuzzy implication and negation, Notes on Intuitionistic Fuzzy Sets, 21(2), 25–34.
- Fodor, J., & R. Roubens (1994) Fuzzy Preference Modelling and Multicriteria Decision Support, Springer.
- Klir, G. & B. Yuan (1995) Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
- Rasiowa H., & R. Sikorski (1963) The Mathematics of Metamathematics, Polska Akademia Nauk, Warszawa.
- Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian).
- 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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| Citations:
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