| Title of paper:
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On Intuitionistic Fuzzy Negations, Law for Excluded Middle and De Morgan’s Laws
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| Author(s):
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| Krassimir Atanassov
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Dept. of Bioinformatics and Mathematical Modelling, 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, Burgas–8010, Bulgaria
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| krat@bas.bg
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| Nora Angelova
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia–1113, Bulgaria
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| nora.angelova@biomed.bas.bg
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| Published in:
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"Issues in IFSs and GNs", Volume 12 (2015/2016), pages 53-60
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| Download:
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 PDF (124 Kb, Info)
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| Abstract:
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The list of all intuitionistic fuzzy negations, introduced by the moment, is given. For them, the Law for Excluded Middle and the De Morgan’s Laws are checked, and the lists of the negations satisfying both laws are given.
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| Keywords:
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Intuitionistic fuzzy logic, intuitionistic fuzzy negation, Law for Excluded Middle, De Morgan’s Laws.
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| References:
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- Atanassov, K. On some intuitionistic fuzzy negations. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 6, 13–20.
- Atanassov, K. On intuitionistic fuzzy negations and De Morgan Laws. Proc. of Eleventh International Conf. IPMU 2006, Paris, July 2–7, 2006, 2399–2404.
- Atanassov, K. On intuitionistic fuzzy negations and Law of Excluded Middle, Proc. of 2010 IEEE International Conference on Intelligent Systems (IS 2010), London, 7–9 July 2010, 266–269.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov K. On Intuitionistic Fuzzy Logics: Results and Problems. Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume 1: Foundations. (Atanassov, K., M. Baczynski, J. Drewniak, J. Kacprzyk, M. Krawczak, E. Szmidt, M. Wygralak, S. Zadrozny, eds.), SRI-PAS, Warsaw, 2014, 23–49.
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