Measures of Countable Compactness and the Lindel\"{o}f Property in $L$-Fuzzy Topological Spaces
Received:October 13, 2014  Revised:April 21, 2015
Key Word: $L$-fuzzy topology   countable compactness   Lindel\"{o}f property   implication operator   fuzzy compactness degree  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11471297).
Author NameAffiliation
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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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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