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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Laws of Contraposition and Law of Importation for Probabilistic Implications and Probabilistic S-implications
verfasst von : Michał Baczyński, Przemysław Grzegorzewski, Wanda Niemyska
Erschienen in: Information Processing and Management of Uncertainty in Knowledge-Based Systems
Verlag: Springer International Publishing
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Recently, Grzegorzewski [5-7] introduced two new families of fuzzy implication functions called probabilistic implications and probabilistic S-implications. They are based on conditional copulas and make a bridge between probability theory and fuzzy logic. In the same article [7] author gives a motivation to his idea and indicates some interesting connections between new families of implications and the dependence structure of the underlying environment. In this paper the laws of contraposition and the law of importation are studied for these families of fuzzy implications.