@article{Fawakhreh2026, 
author = {Anwar J. Fawakhreh},
title = {Categorical relationships between    L-grill-proximity spaces and related    L-topological structures},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {22380-22400},
keywords = {fuzzy sets, functors, L-grill spaces, L-topological structures, L-grill-proximity spaces},
url = {https://www.sciopen.com/article/10.3934/math.2026905},
doi = {10.3934/math.2026905},
abstract = {This work investigated categorical connections between    L-grill spaces and    L-pre-proximity spaces and established a Galois connection between the category of    L-pre-proximity spaces and the category of stratified    L-grill spaces within the framework of complete residuated lattices. Furthermore, it introduced the concept of    L-grill-proximity spaces, a new structure derived from    L-grills, and studied their fundamental properties as well as their categorical connections with    L-closure,    L-interior, and    L-co-topological spaces. Finally, it demonstrated the applicability of the proposed framework through an application to environmental pollution modeling by integrating multiple environmental indicators for quantitative air-quality assessment and decision-making.}
}