| 关于Fuzzy数理论的几个重要定理 |
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| 引用本文： | 黄欢,方锦暄.关于Fuzzy数理论的几个重要定理[J].模糊系统与数学,2001,15(4):58-60. |
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| 作者姓名： | 黄欢 方锦暄 |
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| 作者单位： | 南京师范大学,数学系, |
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| 摘 要： | 给出反例表明吴全华在2]中给出的模糊数列的单调收敛定理不成立，同时指出该文中闭区间套定理的证明也有错误，并加以修正。
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| 关 键 词： | Fuzzy数 水平收敛 上确界 下确界 收敛定理 闭区间套定理 |
| 文章编号： | 1001-7402(2001)04-0058-03 |
| 修稿时间： | 2000年11月16 |
On Some Important Theorems in Theory of Fuzzy Numbers |
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| HUANG Huan,FANG Jin-xuan.On Some Important Theorems in Theory of Fuzzy Numbers[J].Fuzzy Systems and Mathematics,2001,15(4):58-60. |
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| Authors: | HUANG Huan FANG Jin-xuan |
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| Abstract: | In this paper, we give a counterexample showing that the monotone convergence theorem on sequence of fuzzy numbers in a paper of Wu Quan-hua is not valid and point out that the proof of nest theorem of closed intervals in the paper is also incorrect. We modify them into the right forms. |
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| Keywords: | Fuzzy Numbers Supermum Infimum Level Convergence |
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