中文摘要：

本文研究了下模（上模）不可加测度的条件期望.利用下模不可加测度μ的Choquet积分的最大可加表示定理定义了下模（上模）不可加测度的条件期望, 并且证明了这种条件期望的相关性质.

英文摘要：

In this paper,we study the conditional expectation for submodular non-additive measures.By using the maximal additive representation of the Choquet integral with respect to submodular non-additive measures μ,we define the conditional expectation for submodular non-additive measures.Finally,we propose some properties of the conditional expectation for submodular non-additive measures similar to the classical conditional expectation.