Fuzzy betweenness spaces on continuous lattices

The notion of betweenness spaces is very important in  convex structure theory. In this paper,  it is generalized to continuous lattices. Then  its some characterizations and properties are investigated.Finally  the categorical relationship between fuzzy generalized convex spacesand fuzzy betweenness spaces is discussed by using a special antitone Galois connection.

کلیدواژه ها:

Fuzzy convex space ، fuzzy betweenness space ، generalized convex space ، Galois connection ، continuous lattice