Uninorms with continuous underlying t-norm and t-conorm are discussed and properties of the set of discontinuity points of such a uninorm are shown. This set is proved to be a subset of the graph of a special symmetric, u-surjective, nonincreasing set-valued function, which gives us a necessary condition for a uninorm to have continuous underlying functions. A sufficient condition for a uninorm to have continuous underlying operations is also given. Several examples are included.

中文翻译：

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具有不连续点集的连续基础T-范数和T-conorm的单范数的特征

讨论了具有连续基础t-范数和t-conorm的单范数，并显示了此类单范数的不连续点集的性质。该集合被证明是特殊的对称，u形容词，非递增集合值函数的图的子集，这为单数具有连续的基础函数提供了必要条件。还给出了一个统一体具有连续基础操作的充分条件。包括几个示例。