Issue:On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications

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Title of paper: On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications Author(s): Piotr Dworniczak Department of Applied Mathematics, University of Economics, al. Niepodległości 10, 60-967 Poznań, Poland p.dworniczak@ue.poznan.pl Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2010) Number 1, pages 23—29 Download:  PDF (173  Kb, File info) Abstract: In this paper a class of intuitionistic parametric fuzzy implications and negations generated by them are presented. Fulfillment of some properties together with the Law of Excluded Middle and De Morgan’s Law are investigated. Keywords: Negation, Intuitionistic fuzzy implication, Law of Excluded Middle, De Morgan’s Law. References: Atanassov K.T.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96, 1986. Atanassov K.T.: On some intuitionistic fuzzy negations. NIFS, 11, 6, 13-20, 2005. Atanassov K.T.: On the Intuitionistic Fuzzy Implications and Negations. Studies in Computational Intelligence (SCI) 109, 381–394, 2008. Atanassova L.: On some properties of intuitionistic fuzzy negation ¬@. NIFS, 15, 1, 32–35, 2009. Baczyński M., Jayaram B.: Fuzzy implications. Springer, Berlin, 2008. Czogała E., Łęski J.: On equivalence of approximate reasoning results using different interpretations of fuzzy if-then rules. Fuzzy Sets and Systems 117, 279–296, 2001. Dworniczak P.: Some remarks about the L. Atanassova’s paper A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 10, 3, 2010. Citations: Issue:On two modifications of the intuitionistic fuzzy implication →@ ‎ (← 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.