Fuzzy Implications Derived From Generalized Additive Generators of Representable Uninorms
By means of the generalized additive generators of representable uninorms, we introduce a kind of fuzzy implications, which are called h(-1)-implications. These implications are shown to be different from the known (S, N)-, R-, QL-, generalized-h and h-generated, and Yager's f-and g-implications. Generalizations of three classical logic tautologies with implications are investigated. A series of necessary and sufficient conditions are established, under which the corresponding functional equations are satisfied.
fuzzy implication additive generator contraction law distribution laws fuzzy connective importation law