Fuzzifying拓扑空间中的强半开集  

Strong Semi-open Sets in Fuzzifying Spaces

作　　者：赵国亮[1] 黄沙日娜[1] 宋明娟[1] 

机构地区：[1]黑龙江科技学院数力系,黑龙江哈尔滨150027

出　　处：《模糊系统与数学》2008年第3期74-78,共5页Fuzzy Systems and Mathematics

基　　金：黑龙江省教育厅科学技术研究项目(11511347);黑龙江科技学院引进高层次人才科研启动基金资助项目(06-12506-126)

摘　　要：利用文献[3]中重新定义的半开集在Fuzzifying拓扑空间中引入了强半开集。此外,利用新定义的强半开集概念引入了强半邻域、强半闭包和强半内部,最后作为应用定义了映射的强半连续性并给出了若干等价刻画。In this paper, we introduce the concepts of fuzzifying strong semi-open sets with semi-open sets which is redefined in [3]. Furthermore, we introduce the concepts of fuzzifying strong semi-open neighborhood, strong semi-closure and strong semi-interior. At last, we define the concepts of fuzzifying strong semi-open mapping and give its equivalent charaterization as an application.

关 键 词：FUZZIFYING拓扑 强半开集 强半邻域系 强半连续映射 

分 类 号：O159[理学—数学]