| $L$-Fuzzy拓扑空间中的可数紧性度和Lindel"{o}f性质度 |
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| 引用本文： | 李宏艳,李清华,赵颖. $L$-Fuzzy拓扑空间中的可数紧性度和Lindel"{o}f性质度[J]. 数学研究及应用, 2015, 35(3): 343-349 |
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| 作者姓名： | 李宏艳 李清华 赵颖 |
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| 作者单位： | 山东工商学院数学与信息科学学院, 山东 烟台 264005;烟台大学数学与信息科学学院, 山东 烟台 264005;北京北方车辆集团有限公司战略发展部, 北京 100072 |
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| 基金项目： | 国家自然科学基金 (Grant No.11471297). |
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| 摘 要： | In this paper,the concept of countable compactness degree and the concept of Lindelf property degree are defined in L-fuzzy topological spaces by means of implication operator →.Many properties of them are discussed.
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| 关 键 词： | L-fuzzy topology countable compactness Lindelf property implication operator fuzzy compactness degree |
| 收稿时间： | 2014-10-13 |
| 修稿时间： | 2015-04-21 |
Measures of Countable Compactness and the Lindel"{o}f Property in $L$-Fuzzy Topological Spaces |
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| Hongyan LI,Qinghua LI and Ying ZHAO. Measures of Countable Compactness and the Lindel"{o}f Property in $L$-Fuzzy Topological Spaces[J]. Journal of Mathematical Research with Applications, 2015, 35(3): 343-349 |
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| Authors: | Hongyan LI Qinghua LI Ying ZHAO |
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| Affiliation: | School of Mathematics and Information Science, Shandong Institute of Business and Technology, Shandong 264005, P. R. China;School of Mathematics and Information Science, Yantai University, Shandong 264005, P. R. China;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. |
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| Keywords: | $L$-fuzzy topology countable compactness Lindel" {o}f property implication operator fuzzy compactness degree |
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