摘要
文〔3〕、〔4〕在L稠密的条件下,得到了L—模糊集的分解定理与表现定理。但在实际中我们所用到的很多格都不具有稠密性。本文将在应用相当广泛的一类格——连续格上建立L—模糊集的分解定理与表现定理,大大地扩展了集合套的应用范围。
In the paper〔3〕、〔4〕, the decomposition and representalion theorem of L-fuzzy sets has been given by Prof. Luo Chengzhong under the condition that the lattices L are dense(That is for any α, β∈L, if α<β, then, such that α<γ<β). But most of the lattices we use do not have such a density. In this paper, the decomposition and representation theorem of L-fuzzy sets is given in the case that L is continuous. The results we given greatly broden the scope to which set-embeddiags can be applied.
关键词
L-模糊集
连续格
泛截集
泛集合套
L-fuzzy sets
continuous lattices
gerteral λ-ut
general set-embeddings
