L-Fuzzy强广义上(下)弱半连续多值映射及其性质  

L-Fuzzy Strongly Generalized Upper(Lower) Weakly Semicontinuous Multifunctions and Their Properties

作　　者：王小霞[1] 姜金平[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南大学学报（自然科学版）》2012年第2期101-104,共4页Journal of Southwest University(Natural Science Edition)

基　　金：陕西省教育厅科研项目(08JK498);延安大学自然科学专项基金项目(YD2011-08;YDZD2011-05)

摘　　要：定义了广义开集和强广义开集.得出了有限个强广义开集之并仍是强广义开集,强广义开集一定是广义开集,强广义开集的内部是强广义开集.利用强广义开集引入强广义上(下)弱半连续多值映射等概念,讨论了其等价条件,并研究了它们的各种性质.The generalized open sets and strongly generalized open sets are defined.The authors obtain that the union of finite strongly generalized open sets remains strongly generalized open set,the strongly generalized open set is generalized open set,and the interior of strongly generalized open set is strongly generalized open set.The concepts of strongly generalized lower and upper weakly semicontinuous multifuntions with strongly generalized open sets are introduced,their equivalent conditions are discussed and their various properties are investigated.

关 键 词：LF拓扑空间 LF多值映射 强广义开集 强广义上(下)弱半连续多值映射 

分 类 号：O189.13[理学—数学]