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Five new fuzzy algorithms for estimating the mean have been presented. First, we provide the estimation of the mean with considering the given data is crisp and standard deviation parameter is known and defined as triangular fuzzy number (TFN). Second, the algorithm will be defined by considering the data is a TFN and standard deviation parameter is known and crisp. Third, by combining first and second algorithms and considering both the data and standard deviation parameter are TFNs. Fourth, the same of the third algorithm but considering standard deviation parameter is unknown. Fifth, an estimation for the mean has been provided by considering both data and standard deviation parameter are crisp, and the membership function of the mean has been calculated by the means of confidence interval for different significance levels. Then, the advantages and disadvantage of using fuzzy algorithms have been presented. Finally, the calculation for the mean power consumed for an electric load in a certain compound inside Cairo for one month will be calculated based on fuzzy data and parameter.

Fuzzy estimation of the mean for electric load consumption based on different algorithms