L-Bifuzzy Scott Co-topology and its Characterizations

Firstly, we give the definition of an L-bifuzzy Scott closed subset and prove its related properties, then, we give the definition of an L-bifuzzy Scott co-topological space, study its properties and equivalently characterize it which is a generalization of the Scott co-topological space in the classical topology theory. Finally, we establish the relationships of L-bifuzzy domain, L-bifuzzy lower set and L-bifuzzy Scott co-topological space. The relationship is that we can use L-bifuzzy domain, L-bifuzzy lower set to construct the L-bifuzzy Scott co-topological space. All the theories we proposed are new and they present a general framework for the study of the fuzzy data types and fuzzy relations in information systems and database technology.