【摘要】 在L-模糊拓扑空间中引入准分明集的分明度的概念,在此基础上,定义了一组新的弱分离公理,即WiT3,WiT4(i=1,2,3)分离公理,它们比文[1]中的WT3,WT4分离性还要弱,并且证明了它们在L-模糊拓扑空间满层的条件下彼此等价,最后证明了它们也是一般拓扑学中分离性概念在Lowen意义下的“好的推广”.更多还原

【Abstract】 In this paper,a set of weak separation axioms in L-fuzzy topological spaces are defined and studied by giving the concept of the crisp-degree of pseudocrisp set.We discuss certain relationships(among) them.When the L-fuzzy topological space is fully stratified,they are equivalent each other.It is shown that they are"good extensions" of the separation properties for general topology in the sence of R.Lowen.更多还原