The cross-migrativity equation with respect to semi-t-operators
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 162
This Paper With 17 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJFS-18-1_003
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
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.
Keywords:
Authors
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