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 $e,a\in L$, based on the existence of a uninorm on ${[0,a]}^2$ with the neutral element e and a triangular norm on ${[a,1]}^2$. And then, we propose another new approach to obtain the largest uni-nullnorm on L via a uninorm on ${[0,a)}^2$ with the neutral element e and a triangular norm on ${[a,1]}^2$. 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$\mathrm{电子},\mathrm{一种}\in 升$, 基于存在一个不规则 ${[0,\mathrm{一种}]}^2$具有中性元素e和三角范数${[\mathrm{一种},1]}^2$. 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${[0,\mathrm{一种})}^2$具有中性元素e和三角范数${[\mathrm{一种},1]}^2$. 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。