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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
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)
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
set-valued fuzzy measures
( pseudo - ) almost everywhere
( pseudo - ) convergence in set-valued fuzzy measures
(pseudo-)base in set-valued fuzzy measures