文献类型：期刊文献

英文题名：Fubini Theorems for Capacities

作者：Wang, Hongxia[1,2]

第一作者：王洪霞;Wang, Hongxia

通讯作者：Wang, HX[1];Wang, HX[2]

机构：[1]Henan Univ Econ & Law, Coll Stat, Zhengzhou 450046, Henan, Peoples R China;[2]Anal & Res Ctr Educ & Stat Data Henan Prov, Zhengzhou 450046, Henan, Peoples R China

第一机构：河南财经政法大学统计与大数据学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Coll Stat, Zhengzhou 450046, Henan, Peoples R China;[2]corresponding author), Anal & Res Ctr Educ & Stat Data Henan Prov, Zhengzhou 450046, Henan, Peoples R China.|[1048415]河南财经政法大学统计与大数据学院;[10484]河南财经政法大学;

年份：2016

卷号：24

期号：6

起止页码：901-916

外文期刊名：INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS

收录：;EI(收录号：20164903096434);Scopus(收录号：2-s2.0-84999666550);WOS:【SSCI(收录号:WOS:000390245700006)，SCI-EXPANDED(收录号:WOS:000390245700006)】；

基金：This work is supported by NSFC (No. 11171010) and Scientific Research Foundation for Doctors of Henan University of Economics and Law.

语种：英文

外文关键词：Fubini theorem; concave capacity; Choquet integral

摘要：Capacity plays an important role in many areas. A capacity is usually studied under the assumption that it is concave (or convex). In this paper, we perform a further investigation on the Fubini Theorems for concave (or convex) capacities given by Ghirardato (1997) and Chateauneuf and Lefort (2008). We extend Fubini Theorems for capacities to a larger class of functions, which are both mu(1)-Choquet integrable and mu(2)-Choquet integrable, not to restrict only on slice-comonotonic functions.