Probabilistic Implications

Przemyslaw Grzegorzewski
2011 Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)  
A new family of implication operators, called probabilistic implications, is introduced. The suggested implications are based on conditional copulas and make a bridge between probability theory and fuzzy logic. It is shown that some well-known fuzzy implications appear as a particular probabilistic implications. Therefore, it seems that this new family of implication operators might be a useful tool in approximate reasoning.
doi:10.2991/eusflat.2011.67 dblp:conf/eusflat/Grzegorzewski11 fatcat:fiyjrdfcefevnmg7maskzijpzy