A note on the cross-migrativity between uninorms and overlap (grouping) functions.

In 2022, Zhu et al. [14] studied the α -cross-migrativity between uninorms and overlap (grouping) functions, and mainly characterized in detail the corresponding cross-migrativity property when uninorms belong to five general classes (i.e., U min , U max , U i d e , U r e p and U cos), respectively. However, the results obtained by Zhu et al. have some defects, such as lengthy (or unclear) proofs, false proofs and faulty conclusions. Therefore, this paper indicates the defects and reasons, and the corresponding correction. In addition, some further conclusions are given, which relates the α -cross-migrativity between uninorms and overlap (grouping) functions to α -cross-migrativity between t-norms (t-conorms) and overlap (grouping) functions. [ABSTRACT FROM AUTHOR]