This paper aims at comparing two coupling approaches as basic layers for building clustering criteria, suited for modularizing and clustering very large networks. We briefly use "optimal transport theory" as a starting point, and a way as well, to derive two canonical couplings: "statistical independence" and "logical indetermination". A symmetric list of properties is provided and notably the so called "Monge's properties", applied to contingency matrices, and justifying the $\otimes$ versus $\oplus$ notation. A study is proposed, highlighting "logical indetermination", because it is, by far, lesser known. Eventually we estimate the average difference between both couplings as the key explanation of their usually close results in network clustering.

翻译：本文旨在比较两种混合方法,作为构建集群标准的基本层次,适合模块化和聚集非常庞大的网络。我们简要地使用“最佳运输理论”作为起点,并以此为途径,得出两种典型的组合:“统计独立”和“逻辑决定 ” 。我们提供了对称属性清单,特别是适用于应急矩阵的所谓“蒙日特性 ”, 并证明美元对美元加美元表示的理由。我们建议进行一项研究,突出“ 确定中的逻辑 ”, 因为它远不那么为人所知。最后我们估计了这两种组合之间的平均差异,作为它们通常在网络组合中最接近的结果的关键解释。