Further results on L-ordered fuzzifying convergence spaces

In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bireective subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bireective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreective subcategory.