区间值Choquet积分及其性质  

Interval-valued Choquet Integrals and Their Properties

作　　者：郭元伟[1] GUO Yuan-wei(Department of Mathematics,Taiyuan University,Taiyuan 030009,Shanxi,China)

机构地区：[1]太原学院数学系,山西太原030009

出　　处：《山西师范大学学报（自然科学版）》2021年第1期16-21,共6页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：本文首先定义了区间值函数Choquet积分,给出了转换定理,并讨论了区间值函数Choquet积分的相关性质;其次,利用区间值函数收敛性质给出了单调区间值函数积分序列收敛的几个充要条件;第三,讨论了区间值Choquet积分定义的集函数关于μ的遗传性质和结构特性.The interval-valued Choquet integrals based on non-additive Sugeno measures were defined and characterized.It showed that the Choquet integrals of interval-valued functions could be expressed by an interval.Furthermore,we discussed Kuratowski's convergence of the interval-valued functions,and obtained some properties.Finally,the set-valued functions defined by interval-valued Choquet integral were studied.It showed that a lot of characters could be well kept to their primitives such as autocontinuity,subadditive,superadditive,fuzzy multiplicative,and so on.

关 键 词：模糊测度 区间值函数 CHOQUET积分 

分 类 号：O159[理学—数学]