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http://ifigenia.org/wiki/issue:nifs/18/2/1-12
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| Title of paper:
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A property of the intuitionistic fuzzy implications
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| Author(s):
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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krat bas.bg
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| Published in:
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"Notes on IFS", Volume 18 (2012) Number 2, pages 1—12
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| Download:
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 PDF (136 Kb, Info)
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| Abstract:
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It is checked which intuitionistic fuzzy implications satisfy the equality x → y = x → (x → y).
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| Keywords:
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Implication, Intuitionistic fuzzy set, Operation.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. Intuitionistic Fuzzy Sets, Heidelberg, Springer, 1999.
- Atanassov, K. Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 3, 11–14.
- Atanassov, K., D. Dimitrov. Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 1, 10–20.
- Chen, J., S. Kundu. A sound and complete fuzzy logic system using Zadeh’s implication operator. Lecture Notes in Computer Science, Vol. 1079, 1996, 233–242.
- Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
- Shi, Y., D. Ruan, E. Kerre. On the characterizations of fuzzy implications satisfying I(x, y) = I(x, I(x, y)). Information Science, Vol. 177, 2007. No. 14, 2954–2970.
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