L－fuzzy拓扑空间中近良紧集的刻画

Some Characterizations of Near N-compact Sets inL-fuzzy Topological Spaces

本文在Ｌ－ｆｕｚｚｙ拓扑空间中，针对Ｌ－ｆｕｚｚｙ子集定义了Ｍｒ－复盖及具有有限Ｍｒ－交性质的闭集族等概念，并以此刻画了近良紧集的一组特征，证明了近良紧性对正则闭集遗传以及是“Ｌ－ｇｏｏｄｅｘｔｅｎｓｉｏｎ”等结论。

In this paper, the concepts of Mr-cover of L-fuzzy subsets in L-fuzzy topo-logical spaces and the family of L-fuzzy subsets which has the finite Mr-intersectionproperty are introduced and, some characterizations of near N-compact sets are givenand, it is proved that the near N-compactness is hereditary fur regular closed L-fuzzysubsets and that near N-compactness is an “L-good extension”.