| 下方图度量下的非紧模糊数空间 |
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| 引用本文： | 范丽红,樊太和.下方图度量下的非紧模糊数空间[J].模糊系统与数学,2005,19(4):109-114. |
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| 作者姓名： | 范丽红 樊太和 |
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| 作者单位： | 1. 南京师范大学,数学与计算机科学学院,江苏,南京,210097
2. 浙江理工大学,数学系,浙江,杭州,310018 |
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| 基金项目： | NNSFC（10271056） |
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| 摘 要： | 证明了非紧模糊数空间E^～在下方图度量下关于模糊数的序是可逼近的。本文给出的证明方法是构造性的，从而说明了模糊数值积分如M-积分和G-积分等是可计算的。最后给出了E^～中关于下方图度量的一些分析性质。
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| 关 键 词： | 非紧模糊数空间 逼近性 下方图度量 |
| 文章编号： | 1001-7402（2005）04-0109-06 |
| 收稿时间： | 2004-04-05 |
| 修稿时间： | 2004年4月5日 |
On Noncompact Fuzzy Number Space with Endogragh Metric |
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| FAN Li-hong,FAN Tai-he.On Noncompact Fuzzy Number Space with Endogragh Metric[J].Fuzzy Systems and Mathematics,2005,19(4):109-114. |
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| Authors: | FAN Li-hong FAN Tai-he |
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| Institution: | 1. School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097 ,China;2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018,China |
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| Abstract: | In this paper it is proved that the endogragh metric is approximative with respect to orders on noncompact fuzzy number space E^-. It is also shown that the endograph metric approach on orders on E^- is constructive, this shows that noncompact fuzzy-number-valued integrals such as M-integral and G-integral are computable. Finally some analytic properties with respect to the endograph metric on E^- are given. |
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| Keywords: | Noncompact Fuzzy Number Space Approximative Property Endograph Metric |
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