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Issue:On some intuitionistic fuzzy implications

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Title of paper: On some intuitionistic fuzzy implications
Author(s):
Krassimir Atanassov
CLBME-BAS, Bulgaria
krat@bas.bg
Published in: Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, No 1, 2006, pages 19-24
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Abstract: Intuitionistic fuzzy variants of the most popular fuzzy implications and some intuitionistic fuzzy implications are given and their properties are studied. The relations between them together with Modus Ponens are studied. A new type of intuitionistic fuzzy implication is costructed and its properties are presented. Relations between all (15 in number) intuitionistic fuzzy implications are shown.
Keywords: Implication, Intuitionistic fuzzy logic, Negation
References:
  1. Atanassov K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988
  2. K. Atanassov, Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Berlin, 1999.
  3. Atanassov K., Intuitionistic fuzzy implications and Modus Ponens. NIFS, Vol. 11, 2005, No. 1, 1-5.
  4. Id. Advanced Studies in Contemporary Mathematics, 12, 2006, No 1, 117-122
  5. Atanassov K., B. Kolev, Ibid., 12, 2006, No. 1, 111-116
  6. Atanassov K., Trifonov T., Towards combining two kinds of intuitionistic fuzzy sets, "Notes on IFS", Volume 11 (2005) Number 2, pages 1—11
  7. Id. Proceedings of the Jangjeon Math. Society, 8, 2005, No.2, 147-152
  8. Klir G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
  9. Takeuti G., Titani S., Symbolic logic, 49, 1984, Sept. No. 3, 851-866
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