On the categorical relationships among L-G-filters, L-fuzzy grills, L-closure operators and L-fuzzy cotopologies

Abstract

This paper studies the categorical relations among [Formula: see text]-G-filters, [Formula: see text]-fuzzy grills and [Formula: see text]-closure operators. The categorical connections between [Formula: see text]-G-filters and [Formula: see text]-fuzzy cotopologies are also investigated and a Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy cotopological spaces is identified.