Abstract
The main purpose of this paper is to study a new relationship among [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces and their properties are considered, where [Formula: see text] is a complete residuated lattice. Moreover, the Galois connections between [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces are investigated. We present an example through fuzzy information system which confirms the feasibility of using the proposed approaches.
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