| 模糊数值函数的可导性 |
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| 引用本文： | 邵亚斌,张环环,武笎. 模糊数值函数的可导性[J]. 数学的实践与认识, 2012, 42(19) |
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| 作者姓名： | 邵亚斌 张环环 武笎 |
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| 作者单位： | 1. 西北民族大学数学与计算机科学学院,甘肃兰州,730030
2. 甘肃省天水市第一中学数学教研组,甘肃天水,741000 |
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| 摘 要： | 把经典分析的方法与模糊分析相结合,利用R.Goetschel和W.Voxman的模糊数值函数的导数的定义,讨论了模糊数值映射的间断点的性质、微分并得到了单调模糊数值函数的可导性与弱导数之间的关系.
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| 关 键 词： | 模糊数 模糊数值函数 单调函数 可导性 |
The Derivate of Fuzzy-Valued Function |
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| SHAO Ya-bin , ZHANG Huan-huan , WU Yuan. The Derivate of Fuzzy-Valued Function[J]. Mathematics in Practice and Theory, 2012, 42(19) |
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| Authors: | SHAO Ya-bin ZHANG Huan-huan WU Yuan |
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| Abstract: | In this paper,we applied classical real analysis method to fuzzy analysis,using the definition of differentiability of R.Goetschel and W.Voxman,we discus the derivative of fuzzy-valued function,and obtain the relationships of fuzzy derivative and the weak derivative of fuzzy-valued functions. |
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| Keywords: | fuzzy number fuzzy-valued function monotone function differentiability |
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