Migrativity between fuzzy logical connectives is an important and interesting property in fuzzy logic theory. So far, the migrativity between conjunctive logic connectives including t-norms, uninorms and overlap functions has been extensively studied. Recently, we [23] studied the migrativity of continuous t-conorms over fuzzy implications, which is a theoretical supplement on the migrativity of disjunctive connectives in the literature. It is well known that uninorms are a special kind of aggregation functions, which can be viewed as generalizations of both t-norms and t-conorms, and within this framework, we carry out a continuous deep investigation on the migrativity of uninorms over fuzzy implications in this paper. We first introduce the concept of alpha-migrativity of uninorms over fuzzy implications and then characterize the migrative equation for the uninorms U belonging to one of the usually-studied classes over fuzzy implications whose natural negation is non-vanishing. Finally, we study the \(\alpha \) -migrativity of uninorms over general fuzzy implications and obtain the characterizations of solutions to migrative equations by the ordinal sum of t-conorms (t-norms), where plenty of supporting examples of solutions are given.
