Issue:On Fodor’s type of intuitionistic fuzzy implication and negation

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Title of paper: On Fodor’s type of intuitionistic fuzzy implication and negation
Author(s):
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
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


Presented at: 19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 25—34
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Abstract: A Fodor’s type of intuitionistic fuzzy implication is constructed. Its relation with some forms of Klir and Yuan’s axioms are studied. Some open problems, related to the operations of intuitionistic fuzzy propositional calculus, are formulated.
Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
AMS Classification: 03E72.
References:
  1. Atanassov, K. Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, 1998, Sofia.
  2. Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
  3. Atanassov, K. On intuitionistic fuzzy negations and De Morgan Laws. Proc. of Eleventh International Conf. IPMU 2006, Paris, July 2–7, 2006, 2399–2404.
  4. Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012.
  5. Atanassov, K., E. Szmidt, E., and J. Kacprzyk. On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 2013, 1–13.
  6. Baczynski, M., and B. Jayaram, Fuzzy Implications, Springer, Berlin, 2008.
  7. Klir, G., and B. Yuan. Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
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