On the Categorical Connections of L-G-Filter Spaces and a Galois Correspondence with L-Fuzzy Pre-Proximity Spaces

Abstract

The study examines the categorical connections of [Formula: see text]-G-filters with [Formula: see text]-filters and [Formula: see text]-interior operators. Besides, the relationship between [Formula: see text]-G-filters and [Formula: see text]-fuzzy pre-proximities is also explored. Indeed, the Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy pre-proximity spaces is revealed in this paper.