| 局部Lipschitz模糊函数的性质及广义方向导数 |
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| 引用本文： | 张霞,徐义红. 局部Lipschitz模糊函数的性质及广义方向导数[J]. 吉林大学学报(理学版), 2015, 53(5): 873-876 |
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| 作者姓名： | 张霞 徐义红 |
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| 作者单位： | 南昌大学 数学系, 南昌 330031 |
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| 摘 要： | 借助模糊数的左端点和右端点给出局部Lipschitz模糊函数的一个等价刻画,并引进了局部Lipschitz函数广义方向导数的概念.利用两个集合的间隔和距离给出局部Lipschitz模糊函数的若干性质,并举例给出求广义方向导数的方法.
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| 关 键 词： | 模糊函数 局部Lipschitz函数 广义方向导数 |
| 收稿时间： | 2014-12-16 |
Properties and Generalized Directional Derivative of Locally Lipschitz Fuzzy Function |
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| ZHANG Xia,XU Yihong. Properties and Generalized Directional Derivative of Locally Lipschitz Fuzzy Function[J]. Journal of Jilin University: Sci Ed, 2015, 53(5): 873-876 |
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| Authors: | ZHANG Xia XU Yihong |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang 330031, China |
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| Abstract: | With the help of left hand end point and right hand end point of fuzzy number, an equivalent characterization of locally Lipschitz fuzzy function was given, and with the aid of Hausdorff separation and Hausdorff distance between two sets, some properties of locally Lipschitz fuzzy function were discussed. With the introduction of generalized directional derivative of thelocally Lipschitz function, the method for calculating generalized directional derivative was demonstrated with an example. |
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| Keywords: | fuzzy function locally Lipschitz function generalized directional derivative |
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