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: NIFS Volume 11 (2005), Number 6, 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 fizzy 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. Citations: n/a Issue:On some properties of intuitionistic fuzzy negation ¬@ ‎ (← links) Issue:On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications ‎ (← links) Issue:On Intuitionistic Fuzzy Negations, Law for Excluded Middle and De Morgan’s Laws ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.