University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065418120210201The cross-migrativity equation with respect to semi-t-operators1733586910.22111/ijfs.2021.5869ENY. Y.ZhaoSchool of Mathematics, Shandong University, 250100 Jinan, PR ChinaF.QinCollege of Mathematics and Information Science, Jiangxi Normal University, 330022 Nanchang, PR ChinaJournal Article20210103The cross-migrativity has been investigated for families of certain aggregation operators, such as t-norms, t-subnorms and uninorms. In this paper, we aim to study the cross-migrativity property for semi-t-operators, which are generalizations of t-operators by omitting commutativity. Specifically, we give all solutions of the cross-migrativity equation for all possible combinations of semi-t-operators. Moreover, it is shown that if a semi-t-operator F is alpha-cross-migrative over another semi-t-operator G, then G must be a semi-nullnorm except one case. Finally, it is pointed out that the cross-migrativity property between two semi-t-operators is always determined by their underlying operators except a few cases.https://ijfs.usb.ac.ir/article_5869_00f3d43d0a5ae7a3ccef32d8dee08968.pdf