.png){kind=icon}
返回
Lattice-valued coarse structures
.png){kind=icon}
PRE
AI
DOI：10.1016/j.fss.2024.109175.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Based on a complete residuated lattice L , we propose a new approach to fuzzification of coarse structures. Firstly, we introduce the concepts of L-entourages and L-(quasi, semi)-coarse structures and study the maps between L-coarse spaces. Secondly, we provide some examples of L-coarse structures from the aspects of L-metrics, L-relations and L-hyperstructures. Thirdly, we introduce the notion of L-ball structures to characterize L-coarse structures. Finally, we establish the relationship among L-entourage spaces, L-quasi-coarse spaces, L-semi-coarse spaces and Lcoarse spaces in a categorical viewpoint.
Keyword:
L-coarse structure
L-bornology
L-bornologous map
L-ball structure
期刊
IF:
2.7
论文数:
7.6K
被引数:
1.5W
机构
引用论文
.png){kind=icon}
分享收藏
查看更多内容