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Some new results on the migrativity of uninorms over overlap and grouping functions
Fuzzy Sets and Systems ( IF 3.2 ) Pub Date : 2020-11-27 , DOI: 10.1016/j.fss.2020.11.015
Kuanyun Zhu , Jingru Wang , Yongwei Yang

In 2018, Qiao and Hu [48] studied the α-migrativity of uninorms over overlap and grouping functions when the uninorm U belongs to one certain class (e.g., Umin, Umax, the family of idempotent uninorms, representable uninorms or uninorms continuous on ]0,1[2). In addition, they obtained some equivalent characterizations of them. This paper will continue to consider the characterizations of this kind of migrativity equations by means of the ordinal sum of overlap and grouping functions. We give the necessary and sufficient conditions for the solutions of the (α,O)-migrativity equation when the uninorm U becomes a t-norm or a conjunctive uninorm locally internal on the boundary and the (α,G)-migrativity equation when the uninorm U becomes a t-conorm or a disjunctive uninorm locally internal on the boundary, respectively.



中文翻译:

重叠和分组函数上单项迁移性的一些新结果

在2018年,巧和胡[48]研究了α过度重叠统一模和分组功能的-migrativity当uninorm û属于一个特定的类别(例如,分钟, 最大限度, 幂等单项、可表示单项或在上连续的单项的族 ]0,1[2)。此外,他们还获得了一些等效的特征。本文将继续考虑利用重叠函数和分组函数的序数和来刻画这类迁移方程。我们给出解的充要条件(α,)-迁移方程,当单范数U成为 t 范数或局部内部边界上的合取单范数时,(α,G)-迁移方程,当单范数U 分别成为边界上局部内部的 t-conorm 或析取单范数时。

更新日期:2020-11-27
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