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Family name Assya (Ася , Assya , Асся ) , around the world, is quite a common last name. The family name Assya is characteristic of Armenia, where it is quite a common surname, Bulgaria, and Kyrgyzstan, where it is quite a rare surname. Not in comparison with a country's population, it most frequently occurs in Bulgaria, Armenia, and Russia. More prevalently, Assya is the forename as well as the last name.