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http://ifigenia.org/wiki/issue:nifs/7/3/43-48
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| Title of paper:
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Deductive properties of intuitionistic fuzzy logic
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| Author(s):
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| Nikolai Nikolov
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| CLBME, Bulgarian Academy of Sciences, Bl. 105, Acad. G. Bontchev Str., Sofia 1113, Bulgaria
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| shte@iinf.bas.bg
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| Published in:
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"Notes on IFS", Volume 7 (2001) Number 3, pages 43—48
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| Download:
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 PDF (252 Kb, File info)
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| Abstract:
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A formalisation is proposed of the notions of logical consequence and deductive closure in case of intuitionistic fuzzy logic. A relationship is shown between deductively closed sets and intuitionistic fuzzy valuations that respect Modus Ponens.
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| Keywords:
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Intuitionistic fuzzy sets, Deductive closure
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| References:
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- Atanassov, K., Intuitionistic Fuzzy Sets, Springer-Verlag, 1999.
- Rasiowa, H., and R. Sikorski, The Mathematics of Metamathematics, Moscow, Nauka, 1972 (in Russian).
- Ginsberg, M., Bilattices and Modal Operators, Journal of Logic and Computation, 1(1):41-69, July 1990.
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| Citations:
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