| 模糊数值函数的凸性与可导性 |
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| 引用本文： | 李红霞,巩增泰. 模糊数值函数的凸性与可导性[J]. 西北师范大学学报(自然科学版), 2007, 43(5): 1-6,11 |
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| 作者姓名： | 李红霞 巩增泰 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 基于模糊数空间的一种新的序关系,给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理,并讨论了它们的关系.同时,给出了凸模糊数值函数取得最小值的充分条件以及凸化一般模糊数值函数的一种方法.
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| 关 键 词： | 模糊数 凸模糊数值函数 拟凸模糊数值函数 |
| 文章编号： | 1001-988X（2007）05-0001-06 |
| 修稿时间： | 2007-01-112007-05-23 |
The differentiability and convexity of fuzzy-valued functions |
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| LI Hong-xia,GONG Zeng-tai. The differentiability and convexity of fuzzy-valued functions[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2007, 43(5): 1-6,11 |
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| Authors: | LI Hong-xia GONG Zeng-tai |
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| Affiliation: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed. In addition, a sufficient condition of convex fuzzy-valued function getting minimum value is presented, and the method of convexification for a usual fuzzy-valued function is also given. |
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| Keywords: | fuzzy number convex fuzzy-valued function quasi-convex fuzzy-valued function |
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