LF集的表现定理及其应用  

The representation theorems of L-fuzzy sets and their applications

作　　者：张型岱[1] 史福贵[2] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012 [2]北京理工大学应用数学系,北京100081

出　　处：《黑龙江大学自然科学学报》2002年第3期23-26,共4页Journal of Natural Science of Heilongjiang University

摘　　要：在L是完全分配格时,借助极小集与极大集的概念引入L集合套概念,它们是[1]中集合套概念的推广,但不同于[1]中的L集合套。从而得到了一般LF集的若干新的分解定理与表现定理,作为应用给出了诱导空间中LF集的闭包、内部及导集的表现。The authors introduce two new concepts of L - nested sets which are based on the concepts of minimal set and maximal set where L is a completely distributive lattice. They are generalizations of nested sets in [1] and different from L-nested sets in[l].Hence they obtain new decomposition theorems and representation theorems. Further they give the representations of closure,interior and derived set of a L -fuzzy set in an induced space.

关 键 词：LF集 极大集 极小集 分解定理 表现定理 完全分配格 诱导空间 闭包 导集 

分 类 号：O159[理学—数学]