摘要
本文在Ｌ是完全分配格时，借助极小集与极大集概念引入了Ｌ＿β集合套与Ｌ＿α集合套，它们是集合套概念的推广，但不同于Ｌ集合套。得到了一般Ｌ－ｆｕｚｚｙ集的若干新的分解定理与表现定理，进一步又给出了它们在Ｌ－ｆｕｚｚｙ代数，Ｌ－ｆｕｚｚｙ拓扑等方面的若干应用。
In this paper, we introduce the concepts of L_β-nested sets and L_α-nested sets whichare based on the concepts of minimal set and maximal set where L is a completely dis-tributive lattice. They are generalizations of nested sets in [1] and different from L-nested sets in [1].We obtain some new descomposition theorems and representationtheorems of L-fuzzy sets. Further we give their some applications in L-fuzzy algebra andL-fuzzy topology.
出处
《模糊系统与数学》
CSCD
1995年第4期65-72,共8页
Fuzzy Systems and Mathematics
关键词
Lβ集合套
La集合套
LF拓扑空间
L-fuzzy sets
L_β-nested sets
L_α-nested sets
L-fuzzy topological space.
