The cross-migrativity equation with respect to semi-t-operators
محل انتشار: مجله سیستم های فازی، دوره: 18، شماره: 1
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 165
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شناسه ملی سند علمی:
JR_IJFS-18-1_003
تاریخ نمایه سازی: 30 خرداد 1400
چکیده مقاله:
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.
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نویسندگان
Y. Y. Zhao
School of Mathematics, Shandong University, ۲۵۰۱۰۰ Jinan, PR China
F. Qin
College of Mathematics and Information Science, Jiangxi Normal University, ۳۳۰۰۲۲ Nanchang, PR China