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http://ifigenia.org/wiki/issue:nifs/19/1/21-26
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| Title of paper:
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On the extension of the →"@ intuitionistic fuzzy implication
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| Author(s):
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| Piotr Dworniczak
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| The Great Poland University of Social and Economics in Środa Wielkopolska, ul. Surzyńskich 2, 63-000 Środa Wlkp., Poland
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| p.dworniczak@labs.wwsse.pl
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| Published in:
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"Notes on IFS", Volume 19, 2013, Number 1, pages 21—26
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| Download:
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 PDF (111 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Parametric (weak) Intuitionistic fuzzy implication, Intuitionistic fuzzy logic.
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| AMS Classification:
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03E72, 04E72
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| References:
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- Atanassov K. T. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassova, L. A new intuitionistic fuzzy implication, Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21–25.
- Atanassova, L. On two modifications of the intuitionistic fuzzy implication →@, Notes on Intuitionistic Fuzzy Sets, Vol. 18, 2012, No. 2, 26–30.
- 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.
- 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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