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[1]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),2019,24(3):231-233.
　MAO Qingsong.Weighted Interval Approximations of Fuzzy Numbers[J].Journal of Jimei University,2019,24(3):231-233.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:: 第24卷
期数:: 2019年第3期

页码:: 231-233

栏目:: 数理科学与信息工程

出版日期:: 2019-05-28

文章信息/Info

Title:: Weighted Interval Approximations of Fuzzy Numbers

作者:: 毛青松; (集美大学教师教育学院，福建厦门 361021)

Author(s):: MAO Qingsong; (College of Teacher Education,Jimei University,Xiamen 361021,China)

关键词:: 模糊数; 区间数; 逼近; 加权L2距离

Keywords:: fuzzy number; interval number; approximation; weighted L2 distance

分类号:: -

DOI:: -

文献标志码:: A

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。

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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更新日期/Last Update: 2019-06-17