A copula-based family of fuzzy implication operators (Q691712)

Recently, \textit{P. Grzegorzewski} [in: Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and 17th annual LFA meeting, Aix-Les-Bains, France, July 2011. Amsterdam: Atlantis Press. Paper No. 39, 254--258 (2011; Zbl 1254.03052)] introduced a new class of fuzzy implication functions, called probabilistic implications. Following ideas from the above article, the authors propose a new family of fuzzy implications based on the conditional version of a copula function. They discuss some basic properties of these operations and show several examples.