Fuzzy implicators related to (quasi-)copulas

Anna Kolesárová, Radko Mesiar
2019 Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)  
In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a duality between the classes of all quasi-copulas and 1-Lipschitz fuzzy implicators. In addition, we introduce a construction method for fuzzy implicators based on any two copulas and a Lebesgue integrable fuzzy implicator, and discuss some special cases as well.
doi:10.2991/eusflat-19.2019.35 dblp:conf/eusflat/KolesarovaM19 fatcat:a4tijgwulre37e73ncojwcoslu