Basic Properties of Rough Sets and Rough Membership Function 1

(3) For every set X and for every total reflexive binary relation RonX holds idX ⊆ R. Let us observe that every relational structure which is discrete is also diagonal and every relational structure which is non diagonal is also non discrete. Let us note that there exists a relational structure which is non diagonal and non empty. We now state three propositions: 1This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102.