The concepts of closure-neighborhood ?molecular-net?sub-net were introduced into L-Fuzzy closure space.Their convergence in L-Fuzzy closure space which are based on closure-neighborhood was studied.
The concepts of induced L Fuzzy closure space(briefly,L-fcs)、closure-neighborhood、compact L-fcs and compact crist closure space are introduced into L fcs.It is proved that compactness in L fcs is an L good extension.
在 L F闭包空间中 ,引入分明紧空间、诱导 LF闭包空间和 L F紧空间等概念 .证明了 L F闭包空间的紧性是 L-好的推广
Some concepts,such as closure neighborhood, α -closure neigborhood family,compactset and compact space in L -fuzzy closure space,are defined.The equivalent conditions and a series of properties of compact set are investigated.It is proved that the compactness of L -fuzzy closure space is a L -good extension.