L-Fuzzy Rough Proximity Spaces and Their Relationship with L-Fuzzy Rough Grills

In this paper, we study the concept of nearness between [Formula: see text]-fuzzy rough sets and the concepts of [Formula: see text]-fuzzy rough grills and [Formula: see text]-fuzzy rough [Formula: see text]-clusters on a Čech [Formula: see text]-fuzzy rough proximity space [Formula: see text]. Also, we investigate the relationship among [Formula: see text]-fuzzy rough grills, [Formula: see text]-fuzzy rough [Formula: see text]-clan and [Formula: see text]-fuzzy rough [Formula: see text]-clusters. Moreover, we introduce the [Formula: see text]-fuzzy rough LO-proximity spaces and study some of its basic properties. An adequate number of examples support the study.