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| 关于生成I(L)-fuzzy拓扑空间问题的研究 | |
| 引用本文： | 王欣彦,李慧林,岳跃利,王立鹏.关于生成I(L)-fuzzy拓扑空间问题的研究[J].数学的实践与认识,2011,41(15). |
| 作者姓名： | 王欣彦 李慧林 岳跃利 王立鹏 |
| 作者单位： | 1. 沈阳化工大学数理系,沈阳,110142 2. 青岛海洋大学数学系,青岛,266071 3. 沈阳化工大学机械系,沈阳,110142 |
| 摘 要： | 以生成I(L)拓扑空间为基础,首先引入了Ω_L,I_L等算子及I(L)-fuzzy拓扑空间的概念,其次研究了该拓扑空间的基本性质及算子的相应运算规则,最后讨论了此拓扑空间与I(L)-fuzzy拓扑空间的关系.得到了生成I(L)-fuzzy拓扑空军的相应性质. |
| 关 键 词： | 生成I(L)-fuzzy拓扑 L-fuzzy拓扑 I(L)-fuzzy满层空间 |
Study on Induced I(L) -fuzzy Topological Spaces |
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| WANG Xin-yan,LI Hui-lin,YUE Yue-li,WANG Li-peng.Study on Induced I(L) -fuzzy Topological Spaces[J].Mathematics in Practice and Theory,2011,41(15). | |
| Authors: | WANG Xin-yan LI Hui-lin YUE Yue-li WANG Li-peng |
| Institution: | WANG Xin-yan~1,LI Hui-lin~1,YUE Yue-li~2,WANG Li-peng~1 (1.Shenyang Institute of Chemical Technology,Mathematics Department,Shenyang 110142,China) (2.Mathematics Department,Ocean University of Qingdao,Qingdao 266071,China) (3.Shenyang Institute of Chemical Technology,Mechanical Department,China) |
| Abstract: | In this paper,firstly on the basis of induced I(L) - fuzzy topological spaces, through the concepts of induced I(L) - fuzzy topological spaces and the operatorsΩ_L,I_L, then the property of I(L) -fuzzy topological spaces and calculation rules of operators were studied.At last,the relationship between induced I(L) - fuzzy topological spaces and I(L) -fuzzy topological spaces was discussed.As the result,the property of I(L) - fuzzy top spaces was given. |
| Keywords: | Induced I(L) - fuzzy topology L - fuzzy topology Stratified I(L) - fuzzy topology |
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