| 加权距离下模糊数的区间逼近 |
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| 引用本文： | 毛青松.加权距离下模糊数的区间逼近[J].集美大学学报(自然科学版),2019,0(3):231-233. |
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| 作者姓名： | 毛青松 |
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| 作者单位： | (集美大学教师教育学院，福建 厦门 361021) |
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| 摘 要： | 在加权L2 距离意义下得到了模糊数的最近区间逼近。基于此，引入了最近区间逼近算子，并讨论了这个算子的基本性质， 证明了算子关于加权L2距离Lipschitz连续，其Lipschitz常数为1。
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| 关 键 词： | 模糊数 区间数 逼近 加权L2距离 |
Weighted Interval Approximations of Fuzzy Numbers |
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| MAO Qingsong.Weighted Interval Approximations of Fuzzy Numbers[J].the Editorial Board of Jimei University(Natural Science),2019,0(3):231-233. |
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| Authors: | MAO Qingsong |
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| Institution: | (College of Teacher Education,Jimei University,Xiamen 361021,China) |
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| Abstract: | Nearest interval approximation of a fuzzy number with respect to the weighted L2 distance was given in this paper.Based on this,the nearest interval approximation operator on fuzzy numbers was introduced and basic properties of this operator were discussed.It＇s shown that this operator was Lipschitz continuous with respect to the weighted L2 distance,and the Lipschitz constant was equal to 1. |
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| Keywords: | fuzzy number interval number approximation weighted L2 distance |
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