L-Fuzzy上(下)δ-几乎半连续多值映射及其性质  

L-Fuzzy Lower and Upper δ-Nearly Semicontinuous Multifunctions and Their Properties

作　　者：姜金平[1] 王小霞[1] 侯延仁[2] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000 [2]西安交通大学理学院,陕西西安710049

出　　处：《江西师范大学学报（自然科学版）》2011年第3期302-304,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10871156);陕西省教育厅科研(08JK498)资助项目

摘　　要：利用δ-开集研究了LF上(下)δ-几乎半连续多值映射及其等价刻划,并对其性质进行了讨论.证明了若f,g都是上(下)δ-几乎半连续的,则f∨g也是上(下)δ-几乎半连续的;若f是下δ-几乎半连续的,则f也是下δ-几乎半连续的.从而推广了LF上(下)半连续多值映射的相关结论.The concepts of L-fuzzy lower and upper δ-nearly semicontinuous multifunction are introduced and their some equivalent conditions are investigated with δ-openning sets.It is proved that f∨g are lower and upper δ-nearly semicontinuous multifunction if f and g are lower and upper δ-nearly semicontinuous multifunction.If f is lower δ-nearly semicontinuous multifunction,then f is lower δ-nearly semicontinuous multifunction.The relative conclusion of L-fuzzy lower and upper semicontinuous multifunction are extended.

关 键 词：LF拓扑空间 LF多值映射 LF上(下)δ-几乎半连续多值映射 

分 类 号：O153.1[理学—数学]