| L-模糊化拓扑空间中的Moore-Smith收敛理论 |
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| 引用本文： | 姚卫,路玲霞.L-模糊化拓扑空间中的Moore-Smith收敛理论[J].数学研究及应用,2011,31(5):770-780. |
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| 作者姓名： | 姚卫 路玲霞 |
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| 作者单位： | 陕西师范大学数学与信息科学学院, 陕西 西安 710062; 河北科技大学理学院, 河北 石家庄 050018;石家庄经济学院数理学院, 河北 石家庄 050031 |
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| 基金项目： | 国家自然科学基金(Grant No.10926055), 河北省自然科学基金(Grant No.A2010000826); 河北省教育厅基金(Grant No.Z2010297),石家庄经济学院校立基金(Grant No.XN201003). |
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| 摘 要： | This paper presents a definition of L-fuzzifying nets and the related L-fuzzifying generalized convergence spaces. The Moore-Smith convergence is established in L-fuzzifying topology. It is shown that the category of L-fuzzifying generalized convergence spaces is a cartesianclosed topological category which embeds the category of L-fuzzifying topological spaces as a reflective subcategory.
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| 关 键 词： | L-fuzzifying topology L-fuzzifying filter L-fuzzifying net L-fuzzifying generalized convergence space topological category cartesian-closed. |
| 收稿时间： | 2010/4/14 0:00:00 |
| 修稿时间： | 2011/4/18 0:00:00 |
Moore-Smith Convergence in L-Fuzzifying Topological Spaces |
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| Wei YAO and Ling Xia LU.Moore-Smith Convergence in L-Fuzzifying Topological Spaces[J].Journal of Mathematical Research with Applications,2011,31(5):770-780. |
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| Authors: | Wei YAO and Ling Xia LU |
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| Institution: | 1. College of Mathematics and Information Science, Shaanxi Normal University,Shaanxi 710062, P. R. China;College of Science, Hebei University of Science and Technology, Hebei 050018, P. R. China
2. School of Mathematics and Science, Shijiazhuang University of Economics,Hebei 050031, P. R. China |
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| Abstract: | This paper presents a definition of $L$-fuzzifying nets and the related $L$-fuzzifying generalized convergence spaces. The Moore-Smith convergence is established in $L$-fuzzifying topology. It is shown that the category of $L$-fuzzifying generalized convergence spaces is a cartesian-closed topological category which embeds the category of $L$-fuzzifying topological spaces as a reflective subcategory. |
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| Keywords: | $L$-fuzzifying topology $L$-fuzzifying filter $L$-fuzzifying net $L$-fuzzifying generalized convergence space topological category cartesian-closed |
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