Rodabaugh α-闭包的推广

The Generalization of Rodabaugh's α-Closure

对 LF拓扑空间的分明集及模糊格 L中的元素 α,Rodabaugh提出了 α-闭包的概念。本文对此做了推广 ,对 L F拓扑空间中的任一 LF集 ,定义了 H Fα-闭包 ,并顺便引入了 H Fα-闭集的概念。

Rodabaugh has presented the concept of α closure for crisp sets in L fuzzy topological spaces and element α of fuzzy lattice L. In the paper, Rodabaugh's α closure has been generalized to so call HFα closure, it is defined for L fuzzy sets in L fuzzy topological spaces. Based this, HFα closed sets are defined. The basic properties of HFα closure and HFα closed sets are discussed.