| 梯度豪斯道夫度量及其应用(英文) |
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| 引用本文： | 周彩丽,陈欣. 梯度豪斯道夫度量及其应用(英文)[J]. 数学杂志, 2019, 0(4): 486-492 |
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| 作者姓名： | 周彩丽 陈欣 |
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| 作者单位： | 河北大学数学与信息科学学院 |
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| 基金项目： | Supported by the Natural Science Foundation of China(61572011);Natural Science Foundation of Hebei University(799207217073);Youth Scientific Research Foundation of Education Department of Hebei Province(QN2015005);Special Funds for One University of One Province of Hebei University |
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| 摘 要： | 本文研究了Zhou和Zhang引入的梯度豪斯道夫度量的性质及其应用问题.利用梯度数和模糊数之间的关系,证明了(Fc(R),dH)是一个梯度度量空间,并把梯度豪斯道夫度量应用到模糊随机变量,获得了模糊随机变量的新的强大数定律.本文所得结果丰富和深化了模糊数及模糊随机变量相关理论.
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| 关 键 词： | 梯度数 梯度豪斯道夫度量 模糊随机变量 强大数定律 |
GRADUAL HAUSDORFF METRIC AND ITS APPLICATIONS |
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| ZHOU Cai-li,CHEN Xin. GRADUAL HAUSDORFF METRIC AND ITS APPLICATIONS[J]. Journal of Mathematics, 2019, 0(4): 486-492 |
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| Authors: | ZHOU Cai-li CHEN Xin |
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| Affiliation: | (College of Mathematics and Information Science,Hebei University,Baoding 071002,China) |
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| Abstract: | ZHOU Cai-li;CHEN Xin(College of Mathematics and Information Science,Hebei University,Baoding 071002,China) |
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| Keywords: | gradual number gradual Hausdorff metric fuzzy random variable strong law of large numbers |
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