Let X be a compact Kähler manifold. Let \(T_1, \ldots , T_m\) be closed positive currents of bi-degree (1, 1) on X and T an arbitrary closed positive current on X. We introduce the non-pluripolar product relative to T of \(T_1, \ldots , T_m\). We recover the well-known non-pluripolar product of \(T_1, \ldots , T_m\) when T is the current of integration along X. Our main results are a monotonicity property of relative non-pluripolar products, a necessary condition for currents to be of relative full mass intersection in terms of Lelong numbers, and the convexity of weighted classes of currents of relative full mass intersection. The former two results are new even when T is the current of integration along X.

令X为紧凑的Kähler流形。让\（T_1，\ ldots，T_m \）是对双度（1，1）的闭合正电流X和Ť任意关闭正电流上X。我们的引入非pluripolar产物相至T的\（T_1，\ ldots，T_m \） 。当T是沿X积分的电流时，我们恢复了\（T_1，\ ldots，T_m \）的著名的非多极乘积。我们的主要结果是相对非多极乘积的单调性，以勒隆数表示的电流具有相对全质量交点的必要条件，以及相对全质量交点的加权电流类别的凸性。即使当T是沿X积分的电流时，前两个结果也是新的。