ABSTRACT The ordinal sum of triangular norms on the real unit interval has been used to construct other triangular norms. But, in general, the standard approach to the ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an arbitrary bounded lattice. Also, we give some illustrative examples for the clarity.

中文翻译：

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任意有界格上三角范数和三角共形的新构造

摘要 实单位区间上三角范数的序数和已被用于构造其他三角范数。但是，一般来说，三角范数和三角共形的序数和构造的标准方法可能不适用于任意有界格。在这项研究中，我们在任意有界格上引入了三角范数和三角共形的新序数和构造。此外，为了清楚起见，我们给出了一些说明性的例子。