Properties of fuzzy set spaces with L,p metrics

被引：0
|
作者：
Huang, Huan [1 ]
机构：
[1] Jimei Univ, Dept Math, Xiamen 361021, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2025年 / 504卷
关键词：
L; (p); metric; Hausdorff metric; Measurability; Compactness; Completion; RELATIVELY COMPACT-SETS; L-P; UNIVERSAL APPROXIMATION;
D O I：
10.1016/j.fss.2024.109256
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper discusses the properties of the spaces of fuzzy sets in a metric space with L-type d metrics, p >= 1. The d, metrics well-defined if and only if the corresponding Haudorff distance functions are measurable. In this paper, we give several fundamental conclusions on the measurability of these Haudorff distance functions. Then we give some characterizations of total boundedness, relative compactness and compactness in fuzzy set spaces with d, metrics. At last we present the completions of fuzzy set spaces with d, metrics.
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页数：44
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