@misc{Baczyński_Michał_Krzysztof._Autor_Laws_2013,
 author={Baczyński, Michał Krzysztof. Autor and Grzegorzewski, Przemysław Wojciech. Autor and Niemyska, Wanda Helena. Autor},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2013},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={Recently, Grzegorzewski [5-7] introduced two new families of fuzzy implication functions called probabilistic implication 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.},
 type={Text},
 title={Laws of Contraposition and Law of Importation for Probabilistic Implications and Probabilistic S-Implications},
 keywords={Fuzzy implications, Probabilistic implications, Laws of contraposition, Law of importation, Functional equations, Implikacje rozmyte, Implikacje probabilistyczne, Prawa transpozycji, Prawo importu, Równania funkcyjne},
}