This paper mainly investigates the distributive laws between extended nullnorms and uninorms on fuzzy truth values under the condition that the nullnorm is conditionally distributive over the uninorm. It presents the distributive laws between the extended nullnorm and t-conorm, and the left and right distributive laws between the extended generalization nullnorm and uninorm, where a generalization nullnorm is an operator from the class of aggregation operators with absorbing element that generalizes a nullnorm.

中文翻译：

---

模糊真值上扩展零范数和单范数之间的分布

本文主要研究了在零范数对单范式有条件分配的情况下，扩展零范数和单范式在模糊真值上的分配规律。给出了扩展零范数和t-conorm之间的分配律，以及扩展泛化零范数和单范数之间的左右分配律，其中泛化零范数是来自具有吸收元素的聚合算子类的算子，可以泛化零范数。