Imprecision in power flow analysis is modeled using fuzzy set theory. Fuzziness on the power generation and loads used in a power flow analysis implies fuzziness on the outputs; a method is suggested for calculating imprecision through informative statements about the system generation data and availability of generating units in the power flow analysis which depends on the imprecision of the inputs. In the present paper not only are the power generations and loads in the power systems described by fuzzy sets, but the availability of each generating unit is also presented in fuzzy terms. In addition, improvements have been made over previous works through eliminating some impractical assumptions. Two test cases were studied to demonstrate the compatibility of the proposed method with typical electric utility planning programs. A general discussion on the results along with the advantages and disadvantages of the approach is given.