Compactness in fuzzy minimal spaces

被引:24
作者
Alimohammady, A [1 ]
Roohi, M
机构
[1] Mazandaran Univ, Babol Sar, Iran
[2] Islamic Azad Univ, Sari Branch, Tehran, Iran
关键词
D O I
10.1016/j.chaos.2005.08.043
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is devoted to generalize the concept of fuzzy compactness. In fact we have introduce the concept of fuzzy (countably) compactness in fuzzy minimal spaces and some related basic results in these new setting are given. Further, some results of fuzzy compactness for fuzzy topological spaces are achieved. For example, it is shown that (X, M) is fuzzy in-compact if and only if every fuzzy in-open cover of it has a finite 0-partition. Furthermore, every fuzzy m - C-II space is a fuzzy m-Lindelof space. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:906 / 912
页数:7
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