Abstract
In order to define the concept of nearness between [Formula: see text]-fuzzy rough sets, we introduce the concept of Čech [Formula: see text]-fuzzy rough proximity spaces. On this new nearness structure, we prove some basic topological results. To support the proposed approach, examples are given. Further, we introduce [Formula: see text]-fuzzy rough grills, [Formula: see text]-fuzzy rough filters and [Formula: see text]-fuzzy rough clusters and on Čech [Formula: see text]-fuzzy rough proximity spaces, and find the relationship between them.
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