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不确定随机事件机会测度的弱可数次可加性及其应用
引用本文:王静,吴健荣.不确定随机事件机会测度的弱可数次可加性及其应用[J].苏州科技学院学报(自然科学版),2013(4):15-19.
作者姓名:王静  吴健荣
作者单位:苏州科技学院数理学院,江苏苏州215009
基金项目:国家自然科学基金资助项目(11371013)
摘    要:主要讨论不确定随机事件机会测度的一些性质.证明了其具有弱可数次可加性、零可加性、双零渐近可加性和连续性,并给出了不确定随机变量序列的几个收敛概念和收敛定理.

关 键 词:不确定随机变量  机会测度  弱可数次可加性  收敛定理

Weak countable subadditivity of uncertain random event chance measure and its application
WANG Jing,WU Jianrong.Weak countable subadditivity of uncertain random event chance measure and its application[J].Journal of University of Science and Technology of Suzhou,2013(4):15-19.
Authors:WANG Jing  WU Jianrong
Institution:(School of Mathematics and Physics, SUST, Suzhou 215009, China)
Abstract:This paper mainly discusses some structural characteristics of uncertain random event chance measure. It is proved that the chance measure has the weak countable subadditivity, null-additivity, double-null asymptotic additivity and continuity. In addition, we have proposed several convergence concepts and convergence theorems of uncertain random variable sequences.
Keywords:uncertain random variable  chance measure  weak countable subadditivity  convergence theorem
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