This paper provides a complete classification of all t-norms on a family of lattices in terms of t-norms on discrete chains. Moreover, the cardinal of some classes on discrete chains is computed. Therefore, the number of t-norms on the family of lattices is obtained. Also, new results involving Archimedean and divisible t-norms are presented. Finally, we bring out dual results for t-conorms.

中文翻译：

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格子族上的 T 范数和 t 等角线

本文根据离散链上的 t 范数提供了一个格族上所有 t 范数的完整分类。此外，计算离散链上某些类的基数。因此，获得了晶格族的 t 范数数。此外，还提出了涉及阿基米德和可分 t 范数的新结果。最后，我们得出 t-conorms 的对偶结果。