The 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.
Zhao, Y. Y. and Qin, F. (2021). The cross-migrativity equation with respect to semi-t-operators. Iranian Journal of Fuzzy Systems, 18(1), 17-33. doi: 10.22111/ijfs.2021.5869
MLA
Zhao, Y. Y. , and Qin, F. . "The cross-migrativity equation with respect to semi-t-operators", Iranian Journal of Fuzzy Systems, 18, 1, 2021, 17-33. doi: 10.22111/ijfs.2021.5869
HARVARD
Zhao, Y. Y., Qin, F. (2021). 'The cross-migrativity equation with respect to semi-t-operators', Iranian Journal of Fuzzy Systems, 18(1), pp. 17-33. doi: 10.22111/ijfs.2021.5869
CHICAGO
Y. Y. Zhao and F. Qin, "The cross-migrativity equation with respect to semi-t-operators," Iranian Journal of Fuzzy Systems, 18 1 (2021): 17-33, doi: 10.22111/ijfs.2021.5869
VANCOUVER
Zhao, Y. Y., Qin, F. The cross-migrativity equation with respect to semi-t-operators. Iranian Journal of Fuzzy Systems, 2021; 18(1): 17-33. doi: 10.22111/ijfs.2021.5869
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