摘要
首先给出了单调集值测度的S^(*)性质、集值双零渐近可加性等概念,然后在此基础上研究了单调集值测度空间上函数列依测度收敛的一些性质,并且得到了函数列依测度收敛的几个充分条件。
Firstly,the concepts of property S'and double asymptotic null-additivityon monotone set-valued measure are given.Then,some properties of the convergence in measure for functions on monotone set-valued measure space are studied.Meanwhile some sufficient conditions for the convergence in measure of functions are obtained.
作者
孙秀花
SUN Xiu-hua(Department of Mathematics,Jinzhong University,Jinzhong 030600 China)
出处
《模糊系统与数学》
北大核心
2022年第3期45-49,共5页
Fuzzy Systems and Mathematics
基金
山西省高等学校科技创新项目(2020L0613)
晋中学院教改项目(Jg202043)
晋中学院优秀数学建模团队项目。
关键词
单调集值测度:依测度收敛
几乎处处收敛
Monotone Set-valued Measure
Convergence in Measure
Convergence Almost Everywhere
