摘要
本文利用Fuzzy格的代数性质,从L-fuzzy拓扑的层次结,构入手,定义了闭包保层空间,藉助于它给出了满层L-fuzzy拓扑空间的闭包算子与乘积算子可交换的等价条件,并证明了:若乘积L-fuzzy拓扑空间的每个因子空间都是诱导的,则闭包算子与乘积算子是可交换的,从而较好地解决了[2]中所提出的问题。
In this paper, starting with the stratum structure of L-fuzzy topological spaces, we define the spaces in which closure operators preserve strata. By useing of this conception, we give out some equivalent conditions for the commutativity of closure operators with the product operator in fully stratified L-fuzzy topological spaces, and prove that: if each factor space of a product space is induced space, then the closure operators are commutative with the product operator, therefor the problem put forward in [2] has been well solved.
出处
《模糊系统与数学》
CSCD
1989年第2期9-15,共7页
Fuzzy Systems and Mathematics
