Relationship Between L-Fuzzy Quasi-Proximity and L-Fuzzy Closure (Interior) Operators

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