On the general fractal dimensions of hyperspace of compact sets

被引：3
|
作者：
Cheng, Dandan [1 ]
Li, Zhiming [2 ]
Selmi, Bilel [3 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030602, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710127, Shannxi, Peoples R China
[3] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5000, Tunisia
来源：
FUZZY SETS AND SYSTEMS | 2024年 / 488卷
关键词：
General fractal measures and dimensions; Hyperspace; HAUSDORFF DIMENSION;
D O I：
10.1016/j.fss.2024.108998
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Consider a separable metric space ( X, c ) , and let ( . f ( X ) , c ) denote the space of non-empty compact subsets of X equipped with the Hausdorff metric. This paper aims to introduce and investigate the concepts of two general fractal dimensions and general dimensions within the framework of ( . f ( X ) , c ) . In particular, we explore a relationship between the general fractal dimensions of a set Z of a self-similar sequence space and their counterparts in the space of compact subsets . f ( Z ) .
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页数：14
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