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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. |
| 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 |
| DOI： |
| 分类号:O159 |
| 基金项目: |
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| GRADUAL HAUSDORFF METRIC AND ITS APPLICATIONS |
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ZHOU Cai-li,CHEN Xin
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| Abstract: |
| This paper is devoted to study of gradual Hausdorff metric introduced by Zhou and Zhang and its application. By means of relationships between gradual numbers and fuzzy numbers, we prove that (Fc(R), dH) is a gradual metric space. And then, we apply gradual Hausdorff metric to fuzzy random variables and obtain new strong law of large numbers for fuzzy random variables, which enrich and deepen the theory of fuzzy numbers and fuzzy random variables. |
| Key words: gradual number gradual Hausdorff metric fuzzy random variable strong law of large numbers |
