| 模糊有界变差函数全变差的积分表示与距离导数 |
| |
| 引用本文： | 巩增泰,白玉娟.模糊有界变差函数全变差的积分表示与距离导数[J].数学学报,2011(4):633-642. |
| |
| 作者姓名： | 巩增泰 白玉娟 |
| |
| 作者单位： | 西北师范大学数学与信息科学学院; |
| |
| 基金项目： | 国家自然科学基金(71061013,10771171); 西北师范大学知识创新工程(NWNU-KJCXGC-03-61) |
| |
| 摘 要： | 定义和讨论了模糊数值函数的距离导数,给出了模糊有界变差函数全变差的积分表示.发现模糊绝对连续函数是几乎处处距离可导的,距离导数的积分等于其原函数的总变差,从而给出了模糊有界变差函数全变差的积分表示.
|
| 关 键 词： | 模糊数 模糊数值函数 距离导数 |
The Representation of the Total Variation and the Metric Derivative for Fuzzy Bounded Variation Functions |
| |
| Zeng Tai GONG Yu Juan BAI College of Mathematics , Information Science,Northwest Normal University,Lanzhou ,P.R.China.The Representation of the Total Variation and the Metric Derivative for Fuzzy Bounded Variation Functions[J].Acta Mathematica Sinica,2011(4):633-642. |
| |
| Authors: | Zeng Tai GONG Yu Juan BAI College of Mathematics Information Science Northwest Normal University Lanzhou PRChina |
| |
| Institution: | Zeng Tai GONG Yu Juan BAI College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,P.R.China |
| |
| Abstract: | The metric derivative of the fuzzy-number-valued functions and the representation of the total variation for the fuzzy-number-valued function which is of bounded variation are defined and discussed.It is proved that the fuzzy absolutely continuous functions are metrically differentiable almost everywhere,and the integration of its metric derivative equals to the total variation of the primitive.Finally,the representation of the total variation for the fuzzy-number-valued functions which is of bounded variat... |
| |
| Keywords: | fuzzy numbers fuzzy-number-valued functions metric derivative |
| 本文献已被 CNKI 等数据库收录！ |
