Relationship between L-fuzzy quasi-proximity and L-fuzzy closure(interior) operators

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.