Association analysis, Fuzzy quantifiers, Confidence, Four-fold table

We propose a generalization of four-fold table known from classical statistics to the case when fuzzy sets represent attributes in data. We define fuzzy quantifiers on the generalized four-fold table and investigate various classes of such quantifiers. We present theorems that allow constructing new fuzzy quantifiers with the help of fuzzy logic connectives. Fuzzy confirmation measure, which is used in fuzzy association analysis, is shown as an example of the implicative class of fuzzy quantifiers.