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Measures of Countable Compactness and the Lindel\"{o}f Property in $L$-Fuzzy Topological Spaces
Received:October 13, 2014
Revised:April 21, 2015
Key Words
:
$L$-fuzzy topology
countable compactness
Lindel\"{o}f property
implication operator
fuzzy compactness degree
Fund Project
:
Supported by the National Natural Science Foundation of China (Grant No.11471297).
Author Name
Affiliation
Hongyan LI
School of Mathematics and Information Science
,
Shandong Institute of Business and Technology
,
Shandong 264005
,
P. R. China
Qinghua LI
School of Mathematics and Information Science
,
Yantai University
,
Shandong 264005
,
P. R. China
Ying ZHAO
Department of Strategy and Development
,
Beijing North Vehicle Group Corporation
,
Beijing 100072
,
P. R. China
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:
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:
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Abstract
:
In this paper, the concept of countable compactness degree and the concept of Lindel\"{o}f property degree are defined in $L$-fuzzy topological spaces by means of implication operator $\mapsto$. Many properties of them are discussed.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2015.03.012
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