α-finite,alpha-finite

In this paper,we introduce a new type of strong fuzzy paracompactness called Ⅲtype of strong fuzzy paracompactness by the concept of α locally finite family by whichwe may give the characterizations of strong fuzzy countable compactness.

本文引入一种新型的强Ｆ仿紧性─—Ⅲ型强Ｆ仿紧性，它是基于α－局部有限族概念提出的，这种α－局部有限族概念可用于刻划强Ｆ可数紧性。

We introduce the concept of α-locally finite collection as a variation of locally finite collection and s-locally finite collection.

作为局部有限族和s-局部有限族概念的推广,介绍了α-局部有限族的概念,并且通过举例说明了文献[1]中的一个结论是错误的。

First,the concept of strong α-locally finite family is introduced in L-fuzzy topologi-cal spaces,and sheaf paracompactness,which more extensive than Ⅱ- paracompactness,is defined,and its basic properties are discu ssed.

首先，在Ｌ－ｆｕｚｚｙ拓扑空间中引入了强α－局部有限族，并以此定义了比Ⅱ型强仿紧性￣［２］更为广泛的层仿紧性，且讨论了层仿紧集的基本性质。