@article{Zhao2025, 
author = {Hu Zhao and Bingnan Zhang and Jue Ma and Xiongwei Zhang},
title = {r-connectivity of    L-subsets in convex    (  L  ,  M  )-fuzzy hull spaces},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {28020-28033},
keywords = {r-connected L-subsets, convex (L, M)-fuzzy hull operators, the finite product property},
url = {https://www.sciopen.com/article/10.3934/math.20251231},
doi = {10.3934/math.20251231},
abstract = {In general topology, connectedness is a fundamental concept. Convex structures, analogous to topological structures, enable the generalization of numerous properties from topological spaces. In this paper, we first define    r-connectivity for    L-subsets in convex    (  L  ,  M  )-fuzzy hull spaces based on convex    (  L  ,  M  )-fuzzy hull operators. We then establish several equivalent characterizations of    r-connected    L-subsets and explore their key properties. In particular, by leveraging these operators, we introduce the finite product property of    r-connecivity for product spaces within the framework of convex    (  L  ,  M  )-fuzzy hull spaces.}
}