Abstract: Based on the concept of (α,O)-migrative of uninorms over overlap functions, the notion of (α,O)-migrative of 2-uninorms over overlap functions is introduced, the equivalent characterizations of(0,O)-migrative and(1,O)-migrative are given. Furthermore,(α,O)-migrative of 2-uninorm U² over overlap function O when the 2-uninorm U² belongs to five common types of 2-uninorms are discussed, respectively, in particular, when U 2∈U 2_k, U 20,k, U 20,1, U 21,0, the structure of overlap functions under the migrativity functional equation is characterized.

Key words: 2-uninorm, overlap function, migrativity property