Alderaan and Aldebaran are two alternative names for one star system (it could be a multiple star star system, but it looks as though it is a single star with the eye and simple telescopes).
Alderaan is a multiple "system", but not in the usual sense of gravitationally bound objects. It's two pairs of stars, one of the pairs we know as "Castor and Pollux", aka "The Twins".
From Wikipedia
Alderaan is a unused name for the two pairs of stars α and β Canis Minoris (Procyon and Gomeisa) and α and β Geminorum (Castor and Pollux). The name was taken from Arabic al-dhirÄ`ain الذراعين (= "the two forearms" or "the two front paws" or "the two cubit measuring rods").
Also from Wikipedia
Aldebaran from the Arabic( الدبران al-dabarÄn) meaning "the follower", (α Tau / α Tauri / Alpha Tauri) is the brightest star in the constellation Taurus and one of the brightest stars in the nighttime sky. Because of its location in the head of Taurus, it has historically been called the Bull's Eye. Its name is derived from the Arabic الدبران al-dabarÄn meaning "the follower", a reference to the way the star follows the Pleiades star cluster in its nightly journey across the sky. Aldebaran has the appearance of being the brightest member of the more scattered Hyades cluster, which is the closest star cluster to Earth. However, it is merely located in the line of sight between the Earth and the Hyades, and is actually an independent star.