Abstract

The aim of this paper is to study the relationship between the category of C̆ech [Formula: see text]-fuzzy rough proximity spaces and the category of C̆ech [Formula: see text]-fuzzy interior spaces which based on rough set models. In particular, we obtain some interesting adjunctions between the considered categories. Also, we give some examples. Moreover, we introduce [Formula: see text]-fuzzy rough grills and discuss some of their properties.

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