Issue:Properties of Fodor’s intuitionistic fuzzy implication and negation

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Title of paper: Properties of Fodor's intuitionistic fuzzy implication and negation
Author(s):
Eulalia Szmidt
Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidtAt sign.pngibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzykAt sign.pngibspan.waw.pl
Krassimir Atanassov
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
kratAt sign.pngbas.bg
Published in: "Notes on IFS", Volume 21, 2015, Number 4, pages 6–12
Download: Download-icon.png PDF (128  Kb, Info) Download-icon.png
Abstract: Some basic properties of Fodor's intuitionistic fuzzy implication and negation are formulated and checked
Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
AMS Classification: 03E72
References:
  1. 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.
  2. Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
  3. Atanassov, K. (2006) On intuitionistic fuzzy negations and De Morgan Laws. Proc. of Eleventh International Conf. IPMU 2006, Paris, July 2–7, 2399–2404.
  4. Atanassov, K. (2012) On Intuitionistic Fuzzy Sets, Springer, Berlin.
  5. Atanassov, K., E. Szmidt, & J. Kacprzyk (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  6. 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.
  7. Fodor, J., & R. Roubens (1994) Fuzzy Preference Modelling and Multicriteria Decision Support, Springer.
  8. Klir, G. & B. Yuan (1995) Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
  9. Rasiowa H., & R. Sikorski (1963) The Mathematics of Metamathematics, Polska Akademia Nauk, Warszawa.
  10. Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian).
  11. Implications over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_implications
  12. Negations over intuitionistic fuzzy sets. Ifigenia.net. Available at: http://www.ifigenia.org/wiki/IF_negations
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