L-Fuzzy Domain及其相关性质  

L-fuzzy Domain and Its Related Properties

作　　者：张奇业[1] 郑崇友[2] 

机构地区：[1]北京航空航天大学理学院应用数学系,北京100083 [2]首都师范大学数学系,北京100037

出　　处：《模糊系统与数学》2004年第2期1-7,共7页Fuzzy Systems and Mathematics

摘　　要：基于[5]提出的L-fuzzy拟序集,引入L-fuzzy集关于L-fuzzy偏序的并,当L是完全分配格时L-fuzzy拟序集上的L-fuzzy定向集等概念,在此基础上定义L-fuzzydomain,证明它是通常Domain的模糊推广,并得到若干相关性质。In this paper, based on L-fuzzy quasi-ordered sets advanced in [5], the concepts of the (join) of an L-fuzzy set w.r.t the L-fuzzy partial order and an L-fuzzy directed set on an L-fuzzy (quasi-ordered) set when L is a completely distributive lattice are introduced. From them L-fuzzy (domains) are defined, and it is proved that an L-fuzzy domain is a fuzzy generalization of an ordinary domain, and some properties about it are obtained.

关 键 词：DOMAIN L-fuzzy拟序集 L-fuzzy定向集 L—fuzzy DOMAIN 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]