集值容度及其Choquet积分  

Set-valued Capacity and Its Choquet Integral

作　　者：王洪霞 WANG Hong-xia(Department of Statistics, Henan University of Economics and Law, Zhengzhou 450046,China;Analysis and Research Center on Education and Statistic Data of Henan Province,Zhengzhou 450046,Chin)

机构地区：[1]河南财经政法大学统计学院,河南郑州450046 [2]河南省教育统计数据分析与研究中心,河南郑州450046

出　　处：《模糊系统与数学》2018年第2期32-38,共7页Fuzzy Systems and Mathematics

基　　金：河南省高等学校重点科研项目(18A110011)

摘　　要：集值容度不仅是单值容度的推广,也是集值测度的推广。首先,研究集值容度的基本性质;然后,给出了关于集值容度的Choquet积分的定义,并研究其Choquet积分的性质。Set-valued capacity is the generalization of both single-valued capacity and set-valued measure. Firstly we get some basic properties of set-valued capacity. Secondly we give the definition of Choquet integral with respect to set-valued capacity, and then we study the properties of its Choquet integral.

关 键 词：集值容度 关于集值容度的Choquet积分 集值Choquet积分 

分 类 号：O211[理学—概率论与数理统计]