模糊半连续格上的广义半 Scott 拓扑

摘要

The generalized semi-Scott open sets on fuzzy complete lattices are defined and examined.Based on them, the concept of generalized semi-Scott topology is obtained.It is proved that a monotone mapping on the complete lat-tice preserves unions of semi-prime ideals if and only if it is fuzzy monotone mapping and the generalized semi-Scott topologically continuous on the fuzzy complete lattice.%在模糊完备格上引入了广义半 Scott 开集，获得了广义半 Scott 拓扑，证明了完备格视为模糊完备格时，一个单调映射保半素理想并当且仅当它是模糊单调映射且关于广义半 Scott 拓扑连续。