| 模糊数值函数Henstock-Stieltjes积分的相关性质 |
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| 引用本文： | 任爱红.模糊数值函数Henstock-Stieltjes积分的相关性质[J].宝鸡文理学院学报(自然科学版),2010,30(3):12-14. |
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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： | 宝鸡文理学院科研基金资助项目 |
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| 摘 要： | 目的 研究模糊数值函数Henstock-Stieltjes积分.方法 运用模糊数空间上的Haus-dorff距离和模糊数值函数Henstock-Stieltjes积分的定义.结果 讨论了模糊数值函数Henstock-Stieltjes可积的充分必要条件以及这类积分的唯一性等相关性质.结论 这些结果对模糊随机过程积分和微分方程的理论研究将起到很重要的作用.
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| 关 键 词： | 模糊集 模糊数值函数 模糊Henstock-Stieltjes积 |
The related properties of the Henstock-Stieltjes integral of fuzzy-number-valued functions |
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| REN Ai-hong.The related properties of the Henstock-Stieltjes integral of fuzzy-number-valued functions[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2010,30(3):12-14. |
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| Authors: | REN Ai-hong |
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| Institution: | REN Ai-hong(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China) |
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| Abstract: | Aim To investigate the Henstock-Stieltjes integral of fuzzy-number-valued functions with respect to increasing real valued function.Methods Fuzzy-number space's Hausdorff metric and the definition of the Henstock-Stieltjes integral of fuzzy-number-valued functions are used to study the problem.Results The necessary and sufficient condition of the Henstock-Stieltjes integral is obtained and the related properties of the Henstock-Stieltjes integral(like uniqueness) are given.Conclusion These results will play... |
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| Keywords: | fuzzy set fuzzy-number-valued function fuzzy Henstock-Stieltjes integral |
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