Fuzzy Sets and Systems ( IF 3.2 ) Pub Date : 2021-02-26 , DOI: 10.1016/j.fss.2021.02.010 Xinxing Wu , Shudi Liang , Yang Luo , Gül Deniz Çaylı
This paper continues to study the construction of uni-nullnorms on bounded lattices. At first, we introduce a new method for constructing the smallest uni-nullnorm on an arbitrary bounded lattice L having the elements , based on the existence of a uninorm on with the neutral element e and a triangular norm on . And then, we propose another new approach to obtain the largest uni-nullnorm on L via a uninorm on with the neutral element e and a triangular norm on . Furthermore, we provide some corresponding examples to illustrate that our construction methods differ from the existing ones.
中文翻译:
有界格上最小和最大单零范数的构造方法
本文继续研究有界格上单零范数的构造。首先,我们引入了一种在具有元素的任意有界格L上构造最小单零范数的新方法, 基于存在一个不规则 具有中性元素e和三角范数. 然后,我们提出了另一种新方法,通过在L上的单范数获得最大的单零范数具有中性元素e和三角范数. 此外,我们提供了一些相应的例子来说明我们的构建方法与现有的不同。