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Issue:Properties of the intuitionistic fuzzy implications and negations

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Title of paper: Properties of the intuitionistic fuzzy implications and negations
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria
Nora Angelova
Institute of Biophysics and Biomedical Engineerin, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria
Presented at: 20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 22, 2016, Number 3, pages 25—33
Download:  PDF (133  Kb, Info)
Abstract: Some basic properties, are formulated and checked for all the 185 intuitionistic fuzzy implications and all the 53 intuitionistic fuzzy negations. Among these properties are Mederith’s axiom, Rose’s formula, the Law for Contraposition, and others.
Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
AMS Classification: 03E72.
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