Closure space was introduced by Cech as a generalization of ordinary topology. In this work we establish a one to one correspondence between quasi-discrete closures and reflexive relations. We show that, in a quasi-discrete closure space, if a closure and its topological closure are respectively generated by relations and , then is the transitive closure of .
Partially supported by the National Natural Science Foundation of China (No. 60973148) and the Key Project of the Chinese Ministry of Education (No. 108133).