Abstract Recently, construction methods for uninorms on bounded lattices have been studied widely. In this paper, we present two different methods for constructing uninorms on an appropriate bounded lattice with a fixed neutral element e, which is different from the top and bottom elements by using the knowledge of the existence of triangular norms and triangular conorms on bounded lattices. By using these constructions, we obtain idempotent uninorms on an appropriate bounded lattice. Also, we investigate the relation between introduced methods and some other approaches.

中文翻译：

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关于有界格上单范式的构造

摘要 近年来，有界格上单范式的构造方法得到了广泛的研究。在本文中，我们提出了两种不同的方法，用于在具有固定中性元素 e 的适当有界格上构造单范式，该方法与顶部和底部元素不同，利用有界格上三角范数和三角共形的存在性知识。通过使用这些构造，我们在适当的有界格上获得幂等单范式。此外，我们调查了引入的方法和其他一些方法之间的关系。