摘要
本文在L—fuzzy拓扑空间中引进了六种局部强F紧性,研究了它们之间的关系,证明了其局部强F紧性具有闭(开)遗传性质,其余两种具有闭遗传性质。最后。证明了两种局部强F紧性是L不映射的逆不变量。
In this paper. six kinds of locally strong F-compactness in L-fuzzy topological spaces are introduced, and the relationships among them are investigated. It is proved that the four of them are both closed hereditary and open hereditary, and the rest two are closed hereditary but not open hereditary, and both L3-spaces and L3 -spaces are among the inverse invariances of L-fuzzy perfect mappings.
出处
《抚州师专学报》
1993年第2期5-9,共5页
Journal of Fuzhou Teachers College
基金
江西省自然科学基金资助项目
关键词
强F紧集
局部强F紧性
LF拓拓空间
Strongly F-compact set, locally strong F-compactness,N-compact set, L-valued Zadeh's type function, L-fuzzy perfect mapping