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

作　　者：肖依[1] 王贵君[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《黑龙江大学自然科学学报》2010年第3期346-350,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(60974144)

摘　　要：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.

关 键 词：集值模糊测度 (伪)几乎处处 (伪)依集值模糊测度收敛 (伪)依集值模糊测度基本 

分 类 号：O159[理学—数学]