具有Lp度量的模糊集空间的性质
Properties of fuzzy set spaces with Lp metrics
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作者：
黄欢
1
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作者单位：
- 通讯作者：
黄欢
Email: hhuangjy@126.com
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提交时间：2022-05-07 07:58:04
摘要: In this paper, we discuss the properties of the spaces of fuzzy sets in a metric space with $L_p$-type $d_p$ metrics, $p\geq 1$. Firstly, we give the characterizations of compactness in fuzzy set space with $d_p$ metrics. Then we present the completions of fuzzy set spaces with $d_p$ metrics.
The $d_p$ metrics are well-defined if and only if a function induced by the Hausdorff metric is measurable. In this paper, we give some fundamental conclusions on the measurability of this function. This paper was submitted to Fuzzy Sets and Systems on 2022.05.06.
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| [V7] |
2022-06-20 23:55:29 |
ChinaXiv:202110.00083v7
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2022-06-02 22:23:25 |
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2022-05-27 23:39:28 |
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2022-05-07 07:58:04 |
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2022-04-30 22:07:11 |
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2022-04-24 21:48:29 |
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| [V1] |
2021-10-25 22:15:52 |
ChinaXiv:202110.00083v1
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