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几个模糊集空间的性质

Properties of several fuzzy set spaces

摘要:This paper discusses the properties the spaces of fuzzy sets in a metric space?equipped with the endograph metric and the sendograph metric, respectively.?We fist give some relations among the endograph metric, the sendograph?metric and the -convergence, and then investigate the level characterizations?of the endograph metric and the -convergence. By using the above results,?we give some relations among the endograph metric, the sendograph metric,?the supremum metric and the dp* metric. On the basis of the above results,?we present the characterizations of total boundedness, relative compactness?and compactness in the space of compact positive -cuts fuzzy sets equipped?with the endograph metric, and in the space of compact support fuzzy sets?equipped with the sendograph metric, respectively. Furthermore, we give?completions of these metric spaces, respectively.

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[V13] 2022-06-30 23:01:49 chinaXiv:202107.00011V13 下载全文
[V12] 2022-06-25 22:42:01 chinaXiv:202107.00011v12 查看此版本 下载全文
[V11] 2022-05-20 18:57:46 chinaXiv:202107.00011v11 查看此版本 下载全文
[V10] 2022-05-09 20:37:43 chinaXiv:202107.00011v10 查看此版本 下载全文
[V9] 2022-05-01 23:20:19 chinaXiv:202107.00011v9 查看此版本 下载全文
[V8] 2022-04-15 22:11:56 chinaXiv:202107.00011v8 查看此版本 下载全文
[V7] 2022-04-11 22:36:57 chinaXiv:202107.00011v7 查看此版本 下载全文
[V6] 2022-03-28 23:42:31 chinaXiv:202107.00011v6 查看此版本 下载全文
[V5] 2021-11-27 23:25:48 chinaXiv:202107.00011v5 查看此版本 下载全文
[V4] 2021-11-01 22:40:35 chinaXiv:202107.00011v4 查看此版本 下载全文
[V3] 2021-08-01 19:20:48 chinaXiv:202107.00011v3 查看此版本 下载全文
[V2] 2021-07-22 22:58:13 chinaXiv:202107.00011v2 查看此版本 下载全文
[V1] 2021-07-10 12:03:03 chinaXiv:202107.00011v1 查看此版本 下载全文
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