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Issue:On some intuitionistic fuzzy negations: Difference between revisions

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| title = On some intuitionistic fuzzy negations
| title = On some intuitionistic fuzzy negations
| shortcut        = nifs/11/6/13-20
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| conference = [[International Workshop on Intuitionistic Fuzzy Sets|1<sup>st</sup> International Workshop on Intuitionistic Fuzzy Sets]], 22 September 2005, Banska Bystrica, Slovakia
| conference = [[International Workshop on Intuitionistic Fuzzy Sets|1<sup>st</sup> International Workshop on Intuitionistic Fuzzy Sets]], 22 September 2005, Banská Bystrica, Slovakia
| issue = [[Notes on Intuitionistic Fuzzy Sets/11/6|NIFS Volume 11 (2005), Number 6]], 13-20
| issue = [[Notes on Intuitionistic Fuzzy Sets/11/6|"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005), Number 6]], pp 13-20
| file = NIFS-11-6-13-20.pdf
| file = NIFS-11-6-13-20.pdf
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| abstract =  
| 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.
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 fizzy implication]], [[intuitionistic fuzzy negation]]
| keywords = [[Intuitionistic fuzzy implication]], [[Intuitionistic fuzzy negation]]
| references =
# Atanassov K., [[Issue:Two variants of intuitionistic fuzzy propositional calculus|Two variants of intuitionistic fuzzy propositional calculus]]. Preprint IMMFAIS-5-88, Sofia, 1988.
# Atanassov, K. [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]]. Springer Physica-Verlag, Heidelberg, 1999.
# Atanassov, K. [[Issue:Intuitionistic fuzzy implications and Modus Ponens|Intuitionistic fuzzy implications and Modus Ponens]]. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 1, 1-5.
# Atanassov, K. A new intuitionistic fuzzy implication from a modal type. Advanced Studies in Contemporary Mathematics, Vol. 12, 2006, No. 1 (in press).
# Atanassov, K. [[Issue:On some intuitionistic fuzzy implications|On some intuitionistic fuzzy implications]]. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006 , No. 1 (in press).
# Atanassov, K., [[Issue:On some types of intuitionistic fuzzy negations|On some types of intuitionistic fuzzy negations]]. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 4, 170-172.
# 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).
# 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).
# [[George Klir|Klir, G.]] and [[Bo Yuan]], [[Fuzzy Sets and Fuzzy Logic]]. Prentice Hall, New Jersey, 1995.
 
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Latest revision as of 11:09, 29 August 2024

shortcut
http://ifigenia.org/wiki/issue:nifs/11/6/13-20
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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