数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2012年
2期
269-273
,共5页
不可加测度%Choquet积分%可加表示
不可加測度%Choquet積分%可加錶示
불가가측도%Choquet적분%가가표시
Non-additive measures%Choquet integral%additive representation
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.
本文研究瞭下模(上模)不可加測度的條件期望.利用下模不可加測度μ的Choquet積分的最大可加錶示定理定義瞭下模(上模)不可加測度的條件期望,併且證明瞭這種條件期望的相關性質.
본문연구료하모(상모)불가가측도적조건기망.이용하모불가가측도μ적Choquet적분적최대가가표시정리정의료하모(상모)불가가측도적조건기망,병차증명료저충조건기망적상관성질.
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.
