Properties of Binary Relations (2 of
2)
lThe previous example
has only the
second of the following additional two common properties:
lsymmetric property: For every x, y in
the domain
if x is related to y then y is related to x.
if x is related to y then y is related to x.
lanti-symmetric property: For every x, y in
the domain
if x is related to y and y is related to x, then
x = y.
if x is related to y and y is related to x, then
x = y.
B
C
A
D
A
B
C
Symmetric:
Anti-symmetric:
