Michelle McLeod, 41, died at the scene after emergency services attended the incident in the city's Foresterhill Road on Saturday night.
Police said that the dog - which it is understood was registered as an American Bulldog - had since been destroyed.
Ms McLeod's family in a statement: "She was a much-loved mother, daughter and friend to many and will be sorely missed by all who knew her".
Police Scotland said inquiries into the incident were ongoing.
A force spokesperson said: "Police received a report that a woman had been seriously injured by a dog within a flat.
"Emergency services attended but the 41-year-old woman died at the scene."
Ms McLeod's family has asked for privacy following her death.
They added: "We are devastated by the loss of Michelle."
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