L-fuzzy偏序集上若干问题研究  

Investigation on Several L-fuzzy Poset Problems

作　　者：常志[1] 修振宇[1] 张杰[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《北方工业大学学报》2008年第3期44-48,共5页Journal of North China University of Technology

基　　金：北京市教委科技发展面上资助项目(KM200510009009)

摘　　要：定义了L-fuzzy连续格,它是分明连续格的一种推广,并且保持了分明连续格的部分性质.对通常映射进行了提升,给出了L-fuzzy Scott连续映射的定义.使用不同的截集对L-fuzzy Scott闭集进行了等价刻画.In the paper, the L-fuzzy continuous lattice is defined, which is the generalization of the continuous lattice in the classical theory, and preserves some of its classical properties. By raising the ordinary mapping in the classical theory, the definition of an L-fuzzy Scott continuous mapping is obtained. Finally, the paper shows equivalent characterizations of the L-fuzzy Scott closed subset by different cuts.

关 键 词：L-fuzzy偏序集 L-fuzzy逼近序 L-fuzzy连续格 L-fuzzy Scott连续映射 L-fuzzy Scott闭集 

分 类 号：O159[理学—数学]