摘要
作者定义了从L_1~X到L_2~Y的映射σ,证明了σ是满足σ(x_λ~0)=σ(λ)∧σ(x_(I_1)~0)的保并映射的充要条件是σ(A)=∨g(λ)∧f(Aλ),其中f为X到L_1~Y的映射,g为L_1到L_2~Y的保并映射,且有f(X)≤g(I_1);最后证明了一类序同态的分解定理,它们是前人相应结果的推广与补充。
In this paper we define the mapping σ:where f is a mapping from X to L2Y,g is a mapping from L1 to L2Y Then we show the theorem:a mapping σ from L1X to L2Y is the mapping of union-preserving and satisfy-ing the condition ofwhere f is a mapping from X to L2Y,g is a mapping of unionpreserving from L1 to L2Y,and f(X)≤g(I1) Finally we give the decomposition theorem of a class of order homeo morphisms
出处
《青岛海洋大学学报（自然科学版）》
CSCD
1992年第3期103-112,共10页
Journal of Ocean University of Qingdao
关键词
F格
LF拓扑
序同态
双诱导映射
F-Lattice
L-fuzzy topology
order homcomophisms
double-induced mapping
