计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
23期
45-47,270
,共4页
陈桂秀%李生刚%赵虎
陳桂秀%李生剛%趙虎
진계수%리생강%조호
区间数%区间值度量空间%紧性%仿紧性
區間數%區間值度量空間%緊性%倣緊性
구간수%구간치도량공간%긴성%방긴성
interval number%interval-valued metric space%compactness%paracompactness
给出了区间值度量空间的概念，根据一般拓扑学中紧性的相关定义及其等价条件，证明了由区间值度量诱导的拓扑具有的紧性及其一系列等价关系，讨论了该诱导的拓扑空间具有仿紧性。
給齣瞭區間值度量空間的概唸，根據一般拓撲學中緊性的相關定義及其等價條件，證明瞭由區間值度量誘導的拓撲具有的緊性及其一繫列等價關繫，討論瞭該誘導的拓撲空間具有倣緊性。
급출료구간치도량공간적개념，근거일반탁복학중긴성적상관정의급기등개조건，증명료유구간치도량유도적탁복구유적긴성급기일계렬등개관계，토론료해유도적탁복공간구유방긴성。
The definition of interval-valued metric spaces is introduced, according to the definition of compactness and their related equivalent relations in general topological spaces, the compactness and a set of equivalent relations of induced topological space by interval-valued metric are proved, the paracompactness of this induced topological space is discussed in the paper.
