One of the methods to construct a new fuzzy implication from given ones is to transform the given implications and appropriately scale the variables. In this paper, we firstly construct a N-vertical generated implication by changing the linear transformations of two initial implications of the recent introduced vertical e-threshold generated implication. Then we give the relationship between these two classes of fuzzy implications, that is, they are different except for some special cases. Moreover, we study some basic properties of N-vertical generated implications. Finally, we focus on the distributivity of this class of implications over t-norms and t-conorms, and obtain the nice preservation of distributivity from given implications to the corresponding N-vertical generated implication.

从给定的含义构造新的模糊含义的方法之一是转换给定的含义并适当地缩放变量。在本文中，我们首先通过改变最近引入的垂直e阈值生成蕴涵的两个初始蕴涵的线性变换来构建N垂直生成蕴涵。然后我们给出这两类模糊蕴涵之间的关系，即除了一些特殊情况外，它们是不同的。此外，我们研究了N垂直生成的含义的一些基本属性。最后，我们关注这类蕴涵在 t-norms 和 t-conorms 上的分布性，并从给定的蕴涵到相应的N -垂直生成的含义。