| 模糊映射次微分在最小值点集合上的性质及其运算 |
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| 引用本文： | 李成林,刘志辉.模糊映射次微分在最小值点集合上的性质及其运算[J].云南民族大学学报(自然科学版),2005,14(4):296-299. |
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| 作者姓名： | 李成林 刘志辉 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 摘 要： | 在模糊数空间中，介绍了模糊数及模糊映射次微分等概念，引入模糊数的加法与乘法运算法则及序关系，定义了锥N（C，x0），证明了模糊映射在最小值点集合上的性质，通过实例，利用模糊数的定义、运算法则、序关系和模糊映射次微分的定义及性质对模糊映射的次微分作了尝试性的计算。
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| 关 键 词： | 模糊数 模糊映射 模糊次微分 最小值点集合 |
| 文章编号： | 1672-8513(2005)04-0296-03 |
| 修稿时间： | 2005年3月30日 |
The Property of Subdifferentials of Fuzzy Mapping on the Minimizer Set and their Calculation |
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| LI Cheng-lin,LIU Zhi-hui.The Property of Subdifferentials of Fuzzy Mapping on the Minimizer Set and their Calculation[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2005,14(4):296-299. |
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| Authors: | LI Cheng-lin LIU Zhi-hui |
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| Abstract: | In fuzzy number space,we introduce concepts of fuzzy number and sudifferentials of fuzzy mapping,and calculating laws and relations of order of fuzzy number,definite the cone N(C,x_0) and verify the property of subdifferentials of fuzzy mapping on the minimizer set.Using definition,calculating laws and relations of order of fuzzy number and definition and properties of subdifferentials of fuzzy mapping we calculate the subdifferentials of fuzzy mapping. |
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| Keywords: | fuzzy number fuzzy mapping subdifferentials of fuzzy mapping minimizer set |
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