1) generalized L fuzzy closed set
广义LF闭集
2) generalized L fuzzy open set
广义LF开集
3) LF-r closed set
LF-r闭集
1.
The concepts of r remote neighborhood family and r- remote neighborhood family are defined by means of LF-r closed set in LF topological spaces.
在LF拓扑空间中借助LF-r闭集定义了r远域族与r-远域族,进一步引入r-Lindelff可数性和弱r-Lindelff可数性的概念,证明了r-Lindel可数性和弱r-Lindel可数性对于LF-r闭子集是遗传的,是r拓扑性质。
4) strong generalized closed set
强广义闭集
1.
The notions of strong generalized closed sets, generalized weak semiclosed sets and generalized regular closed sets are introduced in L_Fuzzy topological spaces.
提出了LF拓扑空间中强广义闭集、广义弱半闭集、广义正则闭集的概念 。
5) LF-open(closed) set
LF-r开(闭)集
6) semi-generalized closed L-set
半广义闭L-集
1.
In this paper,we introduce the concepts of semi-generalized closed L-set and semi-generalized open L-set in L-space,and we prove that the union of two semi-generalized closed L-sets is a semi-generalized closed L-set and the image of a sg-closed L-set is a gf-closed L-set in closed and semicontinuous mapping,but in the same mapping the image of sg-open L-set is not gf-open.
引入半广义闭L-集和半广义开L-集,证明两个半广义闭L-集的并也是半广义闭L-集,同样还证明了在闭映射和半连续映射下,sg-闭L-集的像是gf-闭L-集,但是有例子表明,在闭映射和半连续映射下,sg-开L-集的像一般不再是gf-开L-集,此外还证明了闭L-集sg-闭L-集gf-闭L-集rgf-闭L-集,但是每个逆都是不真的。
补充资料：闭集
闭集
dosed set
闭集ld吹d肥t买姗.叮l说M“馏ec佃]，拓扑空间中的 含有它的所有极限点〔见集合的极限点(】imjtpolnt of a set)、的集合.于是，闭集的补集的所有点都是内点，所以闭集可定义为开集的补集.闭集的概念是把拓扑空间定义为具有满足下列公理的特定集合系统〔所谓闭集)的作空集X的基础:X本身和空集是闭集;任意个闭集的交是闭集;有限个闭集的并是闭集.
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参考词条