| LF拓扑空间的的r-紧性 |
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| 引用本文： | 马海红,马保国,徐小玲,孙军娜. LF拓扑空间的的r-紧性[J]. 延安大学学报(自然科学版), 2008, 27(4): 11-14 |
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| 作者姓名： | 马海红 马保国 徐小玲 孙军娜 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 基金项目： | 延安大学20008年研究生教育创新计划资助项目 |
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| 摘 要： | 引入了r-基，r-子基，r-紧等概念，给出了r-紧性的网式刻画，证明了r-紧性是闭遗传，被r-连续的格值Zadeh型函数所保持，Tychonoff乘积定理成立等结果。
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| 关 键 词： | LF拓扑空间 r-开集 r-远域 r-紧性 Tychonoff定理 |
r-Compactness in L-fuzzy Topological Spaces |
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| MA Hai-hong,MA Bao-guo,XU Xiao-ling,SUN Jun-na. r-Compactness in L-fuzzy Topological Spaces[J]. Journal of Yan'an University(Natural Science Edition), 2008, 27(4): 11-14 |
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| Authors: | MA Hai-hong MA Bao-guo XU Xiao-ling SUN Jun-na |
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| Affiliation: | MA Hai-hong, MA Bao-guo, XU Xiao-ling, SUN Jun-na ( College of Mathematics and Computer Science, Yan＇an University,716000, China) |
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| Abstract: | The concepts of r- base, r- subbase, r- compactness are introduced in this paper, then the fuzzy net characterization of r - compactness is given, and it is proved that r - compactness is closed hereditary and preserved by continuously generalized Zadeh functions. Tyehonoff productive theory can also be hold. |
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| Keywords: | LF topological space r - open set r - remote neighborhood r - compactness Tychonoff theor |
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