Abstract Functional equations involving aggregation functions play an important role in fuzzy sets and fuzzy logic theorem. As a kind of restricted general associative equation, the migrativity equation has been proven to be useful in a wide range of fields like decision making, aggregation of information, image processing and so on. In the literature, the already existing results concerning the migrativity equation for two uninorms are based on the assumption that one of the uninorms belongs to one of the most studied classes of uninorms, or that they have the same neutral element. In this study we will explore the migrativity equation involving uninorms in a most general setting. To be specific, we investigate the migrativity between two uninorms with only continuous underlying operators. Then many new solutions of the equation are fully characterized from this new point of view.

中文翻译：

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具有连续基础算子的单范式的迁移方程

摘要 涉及聚合函数的泛函方程在模糊集和模糊逻辑定理中占有重要地位。迁移率方程作为一种受约束的广义关联方程，已被证明在决策、信息聚合、图像处理等广泛领域中是有用的。在文献中，关于两个单项的迁移方程的现有结果是基于这样的假设，即其中一个单项属于研究最多的一类单项，或者它们具有相同的中性元素。在本研究中，我们将在最一般的环境中探索涉及单项的迁移方程。具体来说，我们研究了只有连续底层算子的两个单项之间的迁移性。