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Issue:Deductive properties of intuitionistic fuzzy logic: Difference between revisions

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  | title          = Deductive properties of intuitionistic fuzzy logic
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  | issue          = [[Notes on Intuitionistic Fuzzy Sets/07/3|"Notes on IFS", Volume 7 (2001) Number 3]], pages 43—48
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/07/3|"Notes on Intuitionistic Fuzzy Sets", Volume 7 (2001) Number 3]], pages 43—48
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Latest revision as of 17:39, 28 August 2024

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