Table 1.
Properties of the Boolean relations
Relation | Symmetry | Reflexivity | Transitivity |
---|---|---|---|
Equivalent | Symmetric | Reflexive | Transitive |
Contains | Asymmetric | Irreflexive | Transitive |
Is contained | Asymmetric | Irreflexive | Transitive |
Overlap | Symmetric | Irreflexive | Intransitive |
Disjoint | Symmetric | Irreflexive | Intransitive |
Note: The converse of ‘contains’ is ‘is contained’ and vice versa.