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Issue:On some intuitionistic fuzzy negations

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Title of paper: On some intuitionistic fuzzy negations
Author(s):
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, bl. 105 Acad. G. Bontchev Str., Sofia 1113, Bulgaria
krat@acad.bg
Presented at: 1st International Workshop on Intuitionistic Fuzzy Sets, 22 September 2005, Banská Bystrica, Slovakia
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005), Number 6, pp 13-20
Download:  PDF (107  Kb, File info)
Abstract: Fifteen intutionistic fuzzy implications are given and the negations that they generate are studied. The relations between the negations and the Law for Excluded Middle is described. Relations between the intuitionistic fuzzy negations are shown.
Keywords: Intuitionistic fuzzy implication, Intuitionistic fuzzy negation
References:
  1. Atanassov K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IMMFAIS-5-88, Sofia, 1988.
  2. Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
  3. Atanassov, K. Intuitionistic fuzzy implications and Modus Ponens. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 1, 1-5.
  4. Atanassov, K. A new intuitionistic fuzzy implication from a modal type. Advanced Studies in Contemporary Mathematics, Vol. 12, 2006, No. 1 (in press).
  5. Atanassov, K. On some intuitionistic fuzzy implications. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006 , No. 1 (in press).
  6. Atanassov, K., On some types of intuitionistic fuzzy negations. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 4, 170-172.
  7. Atanassov, K., Boyan Kolev, On an intuitionistic fuzzy implication from a possibilistic type. Advanced Studies in Contemporary Mathematics, Vol. 12, 2006, No. 1 (in press).
  8. Atanassov, K., Trifon Trifonov, On a new intuitionistic fuzzy implication from Gödel's type. Advanced Studies in Contemporary Mathematics, Vol. 12, 2006, No. 1 (in press).
  9. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
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