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In order to overcome the weakness of the conventional crisp analysis method, interval arithmetic is used in this paper to represent uncertainty in power sysetems. An interval fast decoupled power flow algorithm, which can be applied in large-scale power system analysis under uncertainty, is proposed. This proposed interval algorithm, taking many kinds of uncertainty into account, uses the Gauss elimination to solve two sets of interval linear equations, i.e. the decoupled P equations and Q equations. And the bounds of power flow results under uncertainty, namely the solution of interval flow equations, are obtained. Monte Carlo method based on fast decoupled power flow is also implemented to verify the validity of the proposed interval algorithm. The proposed mehtod is testified with IEEE 14-node test system and a real large scale power system in North China. The test results illustrate the effectiveness and practical value of the proposed method by comparing with the results of Monte Carlo simulation and traditional crisp method. [ABSTRACT FROM AUTHOR]