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【期刊论文】Inverse limits in category LTop (I) 1
李生刚, Sheng-Gang Li
Fuzzy Sets and Systems 108(1999)235-241,-0001,():
-1年11月30日
This paper is devoted to the study of the inverse limits in LTop, the category of L-fuzzy topological spaces and continuous L-valued Zadeh-functions between them, where L is a completely distributive complete lattice. Structures of such limits are described and a series of their properties are investigated. Furthermore, the mappings between two arbitrary inverse systems is de ned and some of their properties are discussed for the case of category LTop.
Fuzzy topology, Category, Inverse system, Inverse limit, Mapping between inverse systems
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【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.,
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【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
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【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
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