摘要
本文将集合论中的拓扑概念引入到完全分配格上,定义了L-拓扑空间,拓扑基,以及拓扑基的上(下)近似算子等概念,利用格L上拓扑基来刻画关于拓扑基的上(下)近似算子的性质,得到若干结果。从算子论和拓扑论的角度深化了粗糙集与拓扑的内容。
In this paper, topological is introduced on the completely distributive lattice. The notions, lattice topological space, upper and lower approximate operators on topological base are defined, and the properties of them are studied. The properties of upper and lower approximate operators on topological base are characteristics by topological base, some resend are obtained. Rough sets theory and topology have been enriched from the operator- oriented and topology -oriented views.
出处
《湖北第二师范学院学报》
2010年第2期1-4,共4页
Journal of Hubei University of Education
关键词
完全分配格:近似算子
L-拓扑空间
拓扑基
completely distributive lattice
approximate operator
L-topological space
topological base
