Union
$$A \cup B =$$
{ agape, aquarius, aries, cancer, capricorn, eros, gemini, leo, libra, philios, pisces, sagittarius, scorpio, storge, taurus, virgo }
Symmetric Difference
$$A \ominus B =$$
{ agape, aquarius, aries, cancer, capricorn, eros, gemini, leo, libra, philios, pisces, sagittarius, scorpio, storge, taurus, virgo }
Cartesian Product
$$A \times B =$$
{ (aquarius, agape),
(aquarius, eros),
(aquarius, philios),
(aquarius, storge),
(aries, agape),
(aries, eros),
(aries, philios),
(aries, storge),
(cancer, agape),
(cancer, eros),
(cancer, philios),
(cancer, storge),
(capricorn, agape),
(capricorn, eros),
(capricorn, philios),
(capricorn, storge),
(gemini, agape),
(gemini, eros),
(gemini, philios),
(gemini, storge),
(leo, agape),
(leo, eros),
(leo, philios),
(leo, storge),
(libra, agape),
(libra, eros),
(libra, philios),
(libra, storge),
(pisces, agape),
(pisces, eros),
(pisces, philios),
(pisces, storge),
(sagittarius, agape),
(sagittarius, eros),
(sagittarius, philios),
(sagittarius, storge),
(scorpio, agape),
(scorpio, eros),
(scorpio, philios),
(scorpio, storge),
(taurus, agape),
(taurus, eros),
(taurus, philios),
(taurus, storge),
(virgo, agape),
(virgo, eros),
(virgo, philios),
(virgo, storge) }