Distributivity of fuzzy implications over t-norms and t-conorms provides an effective way to solve the combinatorial rule explosion problems caused by addition of inputs in fuzzy inference systems, and hence has received considerable attention in the literature. In this paper, we explore the distributivity of a newly-born class of ordinal sum fuzzy implications with respect to t-norms and t-conorms, where the involving fuzzy implications are constructed by following the structure of $(S,N)$-implications generated from ordinal sum t-conorms and fuzzy negations, and are called N-ordinal sum fuzzy implications with the typical feature that the summand domains of linear transformations of given fuzzy implications are rectangles displayed almost along the minor diagonal of ${[0,1]}^2$. The main results of this paper are characterizations of the t-norm and t-conorm solutions to the four usual distributive equations of N-ordinal sum fuzzy implications, where, of particular interest is that the t-norm and t-conorm solutions have the ordinal sum representations with only one nontrivial summand, and then the necessary and sufficient conditions under which N-ordinal sum fuzzy implications distribute over t-norms and t-conorms in different ways are obtained.

模糊蕴涵在t范数和t范数上的分布性为解决由模糊推理系统中的输入增加所引起的组合规则爆炸问题提供了有效的方法，因此在文献中受到了广泛的关注。在本文中，我们探索了关于t范数和t范数的一类新的序数总和模糊蕴涵的分布，其中涉及的模糊蕴涵是通过遵循$（\mathrm{小号}，ñ）$序和和模糊蕴涵生成的-蕴涵，称为N-求和模糊蕴涵，具有以下典型特征：给定模糊蕴涵的线性变换的求和域是几乎沿着矩形的次对角线显示的矩形${[0，\mathrm{1个}]}^2$。本文的主要结果是对N个有序和模糊蕴涵的四个通常分布方程的t范数和t范数解的刻画，其中特别令人感兴趣的是t范数和t范数解具有序数和表示仅具有一个非平凡的求和，然后获得充要条件和充分条件，在这些条件下，N个正和和模糊蕴涵以不同的方式分布在t模和t模上。