A class of implications related to Yager’s f-implications

In the paper we introduce IU,f,g implications generated by two fuzzy negations and a uninorm. These implications are generalizations of the formula ¬(A ∧ ¬B) from the classical logic and further we generalize the f-generated fuzzy implications introduced by Yager. We study basic properties of the newly proposed implications as well as properties of their φ-transformations.