模糊层次拓扑空间理论(Ⅱ)

The Theory of Fuzzy Stratiform Topological Spaces (II)

本文是文献的续篇。对于给定的模糊格L之分子α,在L-fuzzy拓扑空间中,定义了一种称之为GFα-闭包算子的层次闭包算子,引入了一种称之为GFα-闭集的层次闭集。文中研究了GFα-闭包算子和GFα-闭集的基本性质,指出GFα-闭包算子是Rodabaugh提出的α-闭包算子的拓广,给出了L-fuzzy集之闭包的分解定理。

The paper is continuation of [1]. For given fuzzy lattice L and its molecular a,in L-fuzzy topological space,it is defined that a stratiform closure operator, so-called GFa-closure operator,it is intorduced that a stratiform closed set,so-called GFa- closed set. The basic properties of GFa- closure operator and GFa- closed sets are discussed. It is point out that GFa- closure operator is a generalization for Rodabaugh's a- closure operator. The decomposition theorem has been presented for the closure of L-fuzzy set.