摘要
在自然偏序集中引入自然way-below关系,定义自然偏序集的自然连续性。证明在自然连续的自然偏序集上,自然way-below关系具有插入性,自然Scott开集格是完全分配格。利用∑*收敛刻画了自然偏序集上的自然way-below关系,自然Scott拓扑和自然连续性。
In this paper, the concept of natural way-below relations is introduced for natural posets, and the definition of naturally continuous natural posets is given. It is proved that on a naturally continuous natural poset, natural way-below relation has the interpolation property and the lattice of natural Scott open sets is a completely distributive lattice. In terms of φ^＊-convergence, natural way-below relations, natural Scott topologies and natural continuity of natural posets are characterized.
出处
《模糊系统与数学》
CSCD
北大核心
2011年第4期87-92,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(10371106
60774073)
江苏省教育厅基金资助项目(08kjd110008)
盐城师范学院校级项目(07YCKL070)
