General Characterization of Implication's Distributivity Properties: The Preference Implication

It is widely accepted that distributivity properties play a key role in fuzzy research, especially in fuzzy control. Making use of the solution of the autodistributivity functional equations, we give a characterization of all the four types of distributivity of fuzzy implication. The necessary and s...

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Veröffentlicht in:	IEEE transactions on fuzzy systems 2020-11, Vol.28 (11), p.2982-2995
Hauptverfasser:	Dombi, Jozsef, Baczynski, Michal
Format:	Artikel
Sprache:	eng
Schlagworte:	Cognition Decision making Distributivity distributivity of implication Formulas (mathematics) Functional equations fuzzy connectives Fuzzy control fuzzy implication Fuzzy logic Generators Mathematical model modeling preferences Multiple criterion multiple making decision Operators (mathematics) pliant system preference implication Properties (attributes)
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