On many-valued stratified L-fuzzy convergence spaces

Based on complete, residuated lattices, the relations between stratified L-fuzzy convergence spaces and enriched L-fuzzy topological spaces are studied. It is shown that, as a reflective subcategory, the category of enriched L-fuzzy topological spaces can embedded in the category of stratified L-fuzzy convergence spaces. Also the specialization L-preorder of stratified L-fuzzy convergence spaces is investigated.