Generalized fuzzy Dishkant implications

In this study we introduce the generalized fuzzy Dishkant operations (shortly GD-operations). We will establish that they are a hyper class of the D-operations. Although they are not always fuzzy implications, it will also be proved a necessary, but not sufficient condition for the generation of a generalized fuzzy Dishkant implication. Moreover, we prove a theorem for Ψ-conjugation in generalized fuzzy Dishkant operations.