关于拟概率测度的收敛理论

摘要

In this paper, we investigate the relationships among the convergence concepts on quasi-probability space. By using analogy method, some new convergence concepts for quasi-random variables are proposed on quasi-probability space and the relationships among the con-vergence concepts are discussed. Convergence theory about fuzzy measure is obtained, and all conclusions are natural extensions of the classical convergence concepts to the case where the mea-sure tool is fuzzy.%本文研究了拟概率空间上收敛概念之间的关系这一问题.利用类比的方法,在拟概率空间上提出了一些新的关于拟-随机变量的收敛概念并讨论了这些收敛概念之间的关系,获得了模糊测度下的收敛理论,推广了关于经典测度的收敛概念.