摘要
本文在非标准扩大模型下,研究了模糊拓扑空间中模糊理想的性质。首先,利用模糊集合的非标准扩张,提出了模糊理想单子的概念。其次,借助模糊理想单子,给出了模糊拓扑空间中模糊理想的极限点和聚点的非标准刻画。最后,在非标准刻画的基础上,讨论了模糊理想与模糊网之间的联系。
In nonstandard enlarged model,the properties of fuzzy ideals are studied in fuzzy topological space.Firstly,the monad of fuzzy ideal is proposed with the nonstandard extensions of fuzzy sets.Then,the limit points and accumulation points of fuzzy ideal,in fuzzy topological space,are characterized by the monad.Finally,the relations between fuzzy ideal and fuzzy net are discussed with the nonstandard characterizations.
出处
《长春理工大学学报（自然科学版）》
2012年第4期147-149,共3页
Journal of Changchun University of Science and Technology(Natural Science Edition)
基金
陕西省自然科学基金(2007A12)
关键词
超结构
非标准扩大模型
单子
极限点
superstructure
nonstandard enlarged model
monad
limit points
