Fuzzy向量测度及其积分

Fuzzy Vector-valued Measure and Integral

本文首先在欧氏空间Ｒ￣ｍ中引进序“≤”关系，定义了取值于Ｒ中的Ｆｕｚｚｙ向量测度。在第三部分讨论了取值于Ｒ中的可测向量函数列的收敛，在第四部分定义了可测向量函数关于Ｆｕｕｚｙ向量测度的积分并讨论了这种积分的收敛性。

In the paper,A relation'<'is first introduced in the Euclidean spaceR￣m which orders the space R￣m,Fuzzy vector-valued measure which takes on values in R isdefined.In part 3,the convergence of measurable functions which tkae on values in R isdiscussed.In the last part,the integral of a measurable vector-valued function with respectto fuzzy vector-valued measure is given and the convergence of such integral is discussedtoo.