Haagen-Dazs has no particular meaning, and is two made-up words meant to look and sound Scandinavian.
It is a name created by its developer, Reuben Mattus, a Polish emigre living in the United States, to convey a European sensibility.
Haagen-Dazs ice cream started in the Bronx, New York, in 1961, and had only three flavors: vanilla, chocolate and coffee.