| 模糊有界变差函数及其可导性 |
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| 引用本文： | 巩增泰.模糊有界变差函数及其可导性[J].兰州大学学报(自然科学版),2003,39(3):17-21. |
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| 作者姓名： | 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;中国科学院寒区旱区环境与工程研究所,甘肃,兰州,730000 |
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| 基金项目： | 甘肃省自然科学基金 ( ZS0 1 1 -A2 5 -0 1 2 -Z)，西北师范大学科技创新工程 ( NWNU-KJCXGC-2 1 2 )，西北师范大学重点学科基金资助项目 . |
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| 摘 要： | 利用模糊数的绝对值定义了模糊有界变差函数，给出了模糊有界变差函数的刻划定理，讨论了摸物有界变差函数的可导性．
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| 关 键 词： | 模物有界变差函数 可导性 导数 |
| 文章编号： | 0455-2059(2003)03-0017-05 |
| 修稿时间： | 2002年4月19日 |
Fuzzy-valued functions of bounded variations and its differentiability |
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| GONG Zeng-tai.Fuzzy-valued functions of bounded variations and its differentiability[J].Journal of Lanzhou University(Natural Science),2003,39(3):17-21. |
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| Authors: | GONG Zeng-tai |
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| Institution: | GONG Zeng-tai 1,2 |
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| Abstract: | With the concept of absolute value for the fuzzy-numbers, the fuzzy-valued function of bounded variation is defined and characterized. Next, the differentiability of fuzzy-valued functions of bounded variation is discussed. Moreover, the proof of the differentiability of fuzzy-valued functions of bounded variation is constructive. |
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| Keywords: | fuzzy-valued function of bounded variation differentiability derivative |
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