摘要
在信赖性理论的公理化基础上,利用截尾方法,得到独立粗糙变量序列的不等式、Borel-Cantalli引理及三级数定理,推广了某些已有的结果。
This paper studies the limit theorems for rough variables sequences by using the trust measure, which comes from trust theory based on the axiomatic foundation. Konomogomy inequality and Borel-Cantelli lemma for rough variables sequence are presented. As their application, the three series theorem for rough variable sequence is obtained.
出处
《模糊系统与数学》
CSCD
北大核心
2007年第5期131-135,共5页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(10571076)
关键词
信赖性测度
粗糙变量
随机变量
强收敛
Trust Measure
Rough Variable
Random Variable
Strong Convergence