Migrativity is a recently studied property of binary operations defined on the unit interval, introduced by Durante and Sarkoci for studying convex combinations of a continuous t-norm and a drastic product t-norm \(T_D\) . Inspired by the thought of it, in this paper, we introduce migrativity of extended general binary operations on fuzzy truth values by Zadeh extension principle, where a slight modification is considered. Based on the migrativity equation for fuzzy truth values, we discuss and present some of its characterizations specific to the binary operation that is migrative over a class of particular fuzzy truth values related to characteristic functions of elements in [0, 1] and then extend it to the rather general cases, which leads to the connections and equivalence between two concepts of migrativity under specific conditions. The results of this paper can be applied immediately to the extensions of some familiar aggregation functions like t-norms and overlap functions, revealing the preliminary traits of migrativity on type-2 set.
