| 模糊数值函数Henstock-Stieltjes积分 |
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| 引用本文： | 任爱红.模糊数值函数Henstock-Stieltjes积分[J].纺织高校基础科学学报,2010,23(3):331-335. |
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| 作者姓名： | 任爱红 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721013 |
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| 基金项目： | 陕西省教育厅科研计划项目，宝鸡文理学院科研计划项目 |
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| 摘 要： | 研究模糊数值函数关于实值函数的Henstock-Stieltjes积分.运用模糊数空间上的hausdorff距离和模糊数值函数关于实值函数的Henstock-Stieltjes积分的定义,引入了此类积分的定义.给出了线性、依积分区间的可加性等基本性质,证明了模糊数值函数Henstock-Stieltjes积分可积的存在性定理.推广了模糊数值函数关于实值函数的Henstock积分的相关结论.
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| 关 键 词： | 模糊集 模糊数值函数 模糊Henstock-Stieltjes积分 |
The Henstock-Stieltjes integral of fuzzy-number-valued functions |
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| REN Ai-hong.The Henstock-Stieltjes integral of fuzzy-number-valued functions[J].Basic Sciences Journal of Textile Universities,2010,23(3):331-335. |
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| Authors: | REN Ai-hong |
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| Affiliation: | REN Ai-hong (Department of Mathematics,Baoji University of Arts and Sciences,Baoji,Shaanxi 721013,China) |
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| Abstract: | The Henstock-Stieltjes integral of fuzzy-number-valued functions with respect to increasing real valued function is investigated.Using the fuzzy number space′s Hausdorff metric and definition of the Henstock-Stieltjes integral of fuzzy-number-valued functions,definition of the Henstock-Stieltjes integral is introduced,the basic properties of the Henstock-Stieltjes integral are given and the existence theorem of the Henstock-Stieltjes integral is obtained.The Henstock integral of fuzzy-number-valued functions has been further generalized. |
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| Keywords: | fuzzy set fuzzy-number-valued function fuzzy Henstock-Stieltjes integral |
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