Title of paper:
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On two modifications of the intuitionistic fuzzy implication →@
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Author(s):
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Lilija Atanassova
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Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia-1113, Bulgaria
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l.c.atanassova@gmail.com
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Published in:
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"Notes on IFS", Volume 18 (2012) Number 2, pages 26—30
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Download:
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PDF (118 Kb, File info)
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Abstract:
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Two new intuitionistic fuzzy implications are constructed. The are modifications of the intuitionistic fuzzy implication!@ introduced by the author and extended by P. Dworniczak. Some of the basic properties of the new implications are discussed.
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Keywords:
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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., Two variants of intuitionistic fuzzy propositional calculus. Preprint IMMFAIS-5-88, Sofia, 1988.
- Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
- Atanassova, L., A new intuitionistic fuzzy implication, Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21–25.
- Atanassova, L., On some properties of intuitionistic fuzzy negation ¬@, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 1, 32–35.
- 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 one class of intuitionistic fuzzy implications, Cybernetics and Information Technologies, Vol. 10, 2010, No. 4, 13–21.
- Dworniczak, P., On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 1, 23–29.
- Dworniczak, P., On some two-parametric intuitionistic fuzzy implications, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 2, 8–16.
- Mendelson, E., Introduction to Mathematical Logic, Princeton, New Jersey, D. Van Nostrand, 1964.
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