距离空间上Fuzzy测度序列的弱收敛

Weak Convergences of Sequences of Fuzzy Measures on Metric Spaces

经典测度的弱收敛在经典概率论等随机数学理论中有着很重要的作用。给出了距离Ｆｕｚｚｙ测度空间的定义，在其上首次引进了Ｆｕｚｚｙ测度序列弱收敛的概念，得到了它的等价形式及一些性质，推广了相应的经典结果。

The weak convergences of classical measure play an important role in random mathematics theory such as the classical probability theory. The definition of the metric fuzzy measure spaces is given, and the concept of weak convergences of sequences of fuzzy measure is introduced. Its equivalent proposition is discussed and the corresponding classical results are generalized.