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Family name Fujii (フジイ , Fujii , فوجي ) , in all the world, is quite a common cognomen. The surname Fujii is characteristic of Japan, where it is quite a rare surname, Brazil, and Singapore, where it is a rare surname. Measured by absolute frequency, it most frequently occurs in Japan, Brazil, and the United States. More frequently, Fujii is the forename as well as the last name.