几个模糊集空间的性质

• 作者： Huan Huang ( 1 ) ;
• 作者单位： 1.Jimei University;
• 提交时间：2022-06-30

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.

• 来自： Huan Huang
• 分类： 数学 >> 数学（综合）
• 引用： ChinaXiv:202107.00011 (或此版本 ChinaXiv:202107.00011V13)
  doi:10.12074/202107.00011
  CSTR:32003.36.ChinaXiv.202107.00011.V1
• 推荐引用方式：Huan Huang.(2022).几个模糊集空间的性质.CSTR:32003.36.ChinaXiv.202107.00011.V13 (点此复制)