摘要
在不确定理论中,已经给出了不确定变量序列平均收敛及均方收敛的定义。文章将其推广到更为一般的不确定变量序列依r(r>0)阶收敛(r=1时为平均收敛;r=2时为均方收敛)。提出了不确定变量序列依r(r>0)阶收敛的定义,研究了其性质,给出了不确定变量依r阶收敛的基本列的定义,并讨论其与依r阶收敛的关系。
In uncertainty theory, the concepts of convergence in mean and convergence in mean square for un-certain sequence have been established. This paper has presented the concept of convergence in r-order（r0） for uncertain variable sequence. When r=1, it is convergence in mean; when r=2, it is convergence in mean square.Besides, some mathematical properties of convergence in r-order are proved. Furthermore, the concept of fundamental in r-order for uncertain variables is presented. The relation between convergence in r-order and fundamental in r-order is also discussed.
出处
《苏州科技学院学报（自然科学版）》
CAS
2014年第4期22-25,共4页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
基金
国家自然科学基金资助项目(11272227)
关键词
不确定测度
不确定变量
依r阶收敛
uncertain measure
uncertain variable
convergence in r-order
