The conditional distributivity of aggregation operators has always been the focus of research because it is crucial for various areas including integration theory, utility theory and so on. Therefore, this article is mainly devoted to dealing with the conditional distributivity of a uni-nullnorm over a uninorm with the continuous underlying operators and also gives the full characterization of each pair $(F,U)$ satisfying this property. Moreover, it extends the previous research results since they are now on a much wider class of uninorms.

中文翻译：

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Uni-Nullnorms 在 Uninorms 上的条件分布

聚合算子的条件分配性一直是研究的重点，因为它对集成理论、效用理论等各个领域都至关重要。因此，本文主要致力于处理 uni-nullnorm 在具有连续基础运算符的 uninorm 上的条件分布性，并给出每对的完整表征$(F,ü)$满足这个属性。此外，它扩展了以前的研究结果，因为它们现在涉及范围更广的非规范类。