Extension of Shi's quasi-uniformities in a Kubiak-Šostak sense (Q853382)

This study is devoted to the extension of Shi's quasi-uniformities in a Kubiak-Šostak sense. It starts with a brief review of generic concepts, moves on to the extension of quasi-uniformities and then elaborates on the relationships between the extension of Shi's quasi-uniformities and the corresponding Kubiak-Šostak extensions. It is shown that fuzzy topological molecular lattices can be embedded in fuzzy quasi-uniform molecular lattices. Also the relationships between these two uniformities are studied from the categorical point of view.