Abstract This article investigates the construction of uninorms on bounded lattices. First, by using the fact that triangular norms (t-norms) and triangular conorms (t-conorms) on an arbitrary bounded lattice always exist, we introduce a new construction of uninorms on arbitrary bounded lattices with the neutral element. Then we illustrate how our new construction method is different from some existing methods for the construction of uninorms on bounded lattices. Some illustrative examples for the construction of uninorms on bounded lattices are provided.

中文翻译：

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有界格上单范式的新结构

摘要 本文研究了有界格上单范式的构造。首先，利用任意有界格子上的三角范数（t-范数）和三角共模数（t-conorms）总是存在的事实，我们引入了具有中性元素的任意有界格子上的单范数的新构造。然后我们说明我们的新构造方法与一些现有的在有界格上构造单范式的方法有何不同。提供了在有界格上构造单范式的一些说明性示例。