不确定序列依测度收敛的几个性质  

Some Properties of the Convergence in Measure for Uncertain Sequences

作　　者：孙秀花 张磊[1] SUN Xiu-hua;ZHANG Lei(Department of Mathematics,Jinzhong University,Jinzhong 030600,China)

机构地区：[1]晋中学院数学学院,山西晋中030600

出　　处：《模糊系统与数学》2020年第5期127-132,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61370001);晋中学院博士基金资助项目(bsjj2016202);晋中学院优秀数学建模团队项目。

摘　　要：由不确定序列依测度收敛的定义,结合与一致几乎必然收敛的关系,研究了一些不确定序列依测度收敛的性质,并且得出了不确定序列依测度收敛的两个判定条件。Based on the definition of the convergence in measure for uncertain sequences and the relations between convergence uniformly almost surely and convergence in measure,some properties of the convergence in measure are proved,and two sufficient conditions of the convergence in measure for uncertain sequences are obtained.

关 键 词：不确定变量 不确定测度 依测度收敛 一致几乎必然收敛 

分 类 号：O224[理学—运筹学与控制论]