已为您找到该学者9条结果 成果回收站
【期刊论文】H1 topological molecular lattices1
李生刚, Sheng-Gang Li
Fuzzy Sets and Systems 107(1999)355-363,-0001,():
-1年11月30日
This paper is devoted to the study of H1 topological molecular lattices, a generalization of the Hausdor fuzzy topological spaces. Some primary properties of such topological molecular lattices are discussed. For any complete and completely distributive lattice L, the existence and uniqueness of minimal H1 co-topologies on L are investigated, and the characteristic theorem of minimal H1 co-topologies on L is established.
Fuzzy topology, Topological molecular lattice, Minimal H1 topological molecular lattice, Linked component, H1-ideal.,
-
59浏览
-
0点赞
-
0收藏
-
0分享
-
113下载
-
0
-
引用
【期刊论文】Characterizations of Minimal T 3 1/2 L-Topological Spaces
李生刚, SHENG-GANG LI
Computers and Mathematies with Appications 47(2004)1739-1743,-0001,():
-1年11月30日
For L a closed sets lattice, we prove the existence and a characterization theorem of the minimal elements of T 3LX, where T 3
Fuzzy topology,, Closed sets L-topology,, T3
-
41浏览
-
0点赞
-
0收藏
-
0分享
-
73下载
-
0
-
引用
【期刊论文】Inverse limits in category LTop (II) 1
李生刚, Sheng-Gang Li
Fuzzy Sets and Systems 109(2000)291-299,-0001,():
-1年11月30日
This paper is a sequel to Li (1999). For some classes F of L-valued Zadeh functions, we will discuss two problems connected with inverse limits in LTop, K1HLTop and K2HLTop: (1) Will the condition that all L-valued Zadeh functions between factor L-fts of two given inverse systems are in F imply that the induced limit LTop-morphism is in F? (2) Will the condition that all bonding L-valued Zadeh functions are in F imply that all projective L-valued Zadeh functions are in F?
Fuzzy topology, Inverse limit, Projective L-valued Zadeh-function, Mapping between inverse systems, Limit LTop-morphism.,
-
41浏览
-
0点赞
-
0收藏
-
0分享
-
60下载
-
0
-
引用
【期刊论文】Local connectedness in L-topological spaces
李生刚, Sheng-Gang Li∗
Fuzzy Sets and Systems 133(2003)363-373,-0001,():
-1年11月30日
This paper studies local strong F1 connectedness and local Q-connectedness of L-topological spaces. It is shown that every L-interval J (L) and its weak induci.cation J(L) are both local strong F1 connected andlocal Q-connected, and that the local Q-connectedness of an L-topological space is equivalent to that of its induced I (L)-topological space.
L-topological space, Local strong F1 connectedness, Local Q-connectedness, L-interval, Induced I (, L), -topological space
-
39浏览
-
0点赞
-
0收藏
-
0分享
-
88下载
-
0
-
引用
【期刊论文】Connectedness in L-fuzzy topological spaces
李生刚, Sheng-Gang Li
Fuzzy Sets and Systems 116(2000)361-368,-0001,():
-1年11月30日
Based on the consideration to the layer structures of fuzzy lattices and the level topologies of L-fuzzy topological spaces, a connectedness is dened for an arbitrary L-fuzzy set in this paper. This denition reects the degree of connectivity of an L-fuzzy set. It is shown that the connectedness of L-fuzzy topological spaces is an L-good extension, multiplicative and preserved under continuous L-valued Zadeh functions, and that the inverse limit of continuums is a continuum. General L-fuzzy intervals and H-intervals are dened and connectedness of them are proved. It is also shown that the connectedness of an L-fuzzy topological space is equivalent to the connectedness of its induced I (L)-fuzzy topological space.
Fuzzy topology, Connectedness, Inverse limit, L-fuzzy continuum, L-fuzzy interval, H-interval, Induced I (, L), -fuzzy topological space
-
37浏览
-
0点赞
-
0收藏
-
0分享
-
242下载
-
0
-
引用