计算机工程与应用2012，Vol.48Issue(25)：57-60,4.DOI:10.3778/j.issn.1002-8331.2012.25.013
定向完备偏序集上的模糊Scott拓扑
Fuzzy Scott topology on directed complete poset
摘要
Abstract
Suppose that ?is a complete residuated lattice, a stratified L-topology in sense of Hohle, called the fuzzy Scott topology, is defined on Directed Complete Poset (DCPO). Based on stratified L-filters, the corresponding Scott convergence theory is established. It is shown that a DCPO is continuous iff for any stratified L-filter, Scott convergence coincides with convergence about the fuzzy Scott topology.关键词
定向完备偏序集/模糊Scott拓扑/满层的L-滤子/Scott收敛Key words
Directed Complete Poset( DCPO)/ fuzzy Scott topology/ stratified L-filter/ Scott convergence分类
数理科学引用本文复制引用
路玲霞..定向完备偏序集上的模糊Scott拓扑[J].计算机工程与应用,2012,48(25):57-60,4.基金项目
国家自然科学基金(No.10926055) （No.10926055）
河北省自然科学基金(No.A2010000826) （No.A2010000826）
石家庄经济学院校立基金(No.XN201003). （No.XN201003）
