集值映射在模糊序下的弱自连续性  

Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order

作　　者：潘文武[1,2] 马勇[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070 [2]四川理工学院数学系,四川自贡643000

出　　处：《甘肃科学学报》2009年第4期114-116,共3页Journal of Gansu Sciences

摘　　要：在m维正欧式空间的子集类上利用模糊序结构建立了序收敛的情况下,定义了集值模糊测度的弱自连续,讨论了它与集值模糊测度一致自连续的关系,得到了一些有趣的结果.By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions.

关 键 词：弱自连续性 一致自连续 集值模糊测度 

分 类 号：O152[理学—数学]