Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ agape, charismatic, eros, legal, philios, storge, traditional }
Symmetric Difference
$$A \ominus B =$$
{ agape, charismatic, eros, legal, philios, storge, traditional }
Difference
$$A - B =$$
{ agape, eros, philios, storge }
Difference
$$B - A =$$
{ charismatic, legal, traditional }
Cartesian Product
$$A \times B =$$
{ (agape, charismatic),
(agape, legal),
(agape, traditional),
(eros, charismatic),
(eros, legal),
(eros, traditional),
(philios, charismatic),
(philios, legal),
(philios, traditional),
(storge, charismatic),
(storge, legal),
(storge, traditional) }