江苏师范大学学报（自然科学版）
江囌師範大學學報（自然科學版）
강소사범대학학보（자연과학판）
Journal of Jiangsu Normal University (Natural Science Edition)
2015年
4期
30-33
,共4页
张鹏%姜广浩%占诗源%李海龙
張鵬%薑廣浩%佔詩源%李海龍
장붕%강엄호%점시원%리해룡
模糊完备格%模糊半连续格%广义半 Scott 拓扑
模糊完備格%模糊半連續格%廣義半 Scott 拓撲
모호완비격%모호반련속격%엄의반 Scott 탁복
fuzzy complete lattice%fuzzy semi-continuous lattice%generalized semi-Scott topology
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。
在模糊完備格上引入瞭廣義半 Scott 開集，穫得瞭廣義半 Scott 拓撲，證明瞭完備格視為模糊完備格時，一箇單調映射保半素理想併噹且僅噹它是模糊單調映射且關于廣義半 Scott 拓撲連續。
재모호완비격상인입료엄의반 Scott 개집，획득료엄의반 Scott 탁복，증명료완비격시위모호완비격시，일개단조영사보반소이상병당차부당타시모호단조영사차관우엄의반 Scott 탁복련속。
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.
