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Issue:On the extension of the →"@ intuitionistic fuzzy implication

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Title of paper: On the extension of the →"@ intuitionistic fuzzy implication
Author(s):
Piotr Dworniczak
The Great Poland University of Social and Economics in Środa Wielkopolska, ul. Surzyńskich 2, 63-000 Środa Wlkp., Poland
p.dworniczak@labs.wwsse.pl
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 1, pages 21—26
Download:  PDF (111  Kb, File info)
Abstract: In the paper a class of parametric intuitionistic fuzzy implications is introduced. The class is an extension of the →″@ implication, introduced by L. Atanassova. Fulfillment of some axioms and properties, together with Modus Ponens inference rule, are investigated. Negation induced by implication is presented.
Keywords: Parametric (weak) Intuitionistic fuzzy implication, Intuitionistic fuzzy logic.
AMS Classification: 03E72, 04E72
References:
  1. Atanassov K. T. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  2. Atanassova, L. A new intuitionistic fuzzy implication, Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21–25.
  3. Atanassova, L. On two modifications of the intuitionistic fuzzy implication →@, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 2, 26–30.
  4. Dworniczak, P. Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”, Cybernetics and Information Technologies, Vol. 10, 2010, No. 3, 3–9.
  5. Dworniczak, P., On some two-parametric intuitionistic fuzzy implications, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 2, 8–16.
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