集值模糊测度空间上可测函数列的收敛性

Convergence of sequence of measurable functions in set-valued fuzzy measure space

在m维欧氏空间的子集类上引入一种新的序结构,并由此序结构在集值模糊测度空间上给出了可测函数序列的(伪)依集值模糊测度几乎处处收敛,(伪)依集值模糊测度收敛和(伪)依集值模糊测度基本等概念,进而研究了它们收敛的蕴涵关系。

By introducing a new order in the class of subsets of an m dimensional positive Euclid space and the concept of （pseudo - ） almost everywhere convergence, （ pseudo - ） convergence, （ pseudo - ） base of sequence of measurable functions in the set-valued fuzzy measure are discussed in the set-valued fuzzy space. Then, the implication relationship among them is studied.