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On the distributivity equations between null-uninorms and overlap (grouping) functions
Fuzzy Sets and Systems ( IF 3.2 ) Pub Date : 2021-06-09 , DOI: 10.1016/j.fss.2021.06.002
Yifan Zhao 1 , Kai Li 1
Affiliation  

Recently, Zhang et al. studied the distributivity between uni-nullnorms and overlap (grouping) functions [68]. They obtained the sufficient and necessary conditions for the distributivity equations between them. However, the distributivity between null-uninorms and overlap (grouping) functions is missing. To fill this gap, in this paper, we explore some new results on the distributivity equations between overlap (grouping) functions and null-uninorms, which are the generalization of uninorms and nullnorms. Meanwhile, we give the full characterization of any idempotent null-uninorm.



中文翻译:

关于零一范数和重叠(分组)函数之间的分布方程

最近,张等人。研究了单零范数和重叠(分组)函数之间的分布[68]。他们得到了它们之间的分配方程的充分必要条件。然而,零一范数和重叠(分组)函数之间的分布缺失。为了填补这一空白,在本文中,我们探索了重叠(分组)函数和零不范数之间的分布方程的一些新结果,它们是不范数和零范数的推广。同时,我们给出了任何幂等零一范数的完整特征。

更新日期:2021-06-09
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