In the present study for given fuzzy data an estimation method based on Max(F)Ent measure and generalized entropy optimization methods is suggested. A set of successive values of estimated membership function is defined as distribution which is closest to appropriate membership function and distribution which is furthest from mentioned membership function. In this study, fuzzy data analysis is fulfilled by applying GMax(F)EntM for fuzzy data. The performances of distributions (MinMaxEnt)(m) and (MaxMaxEnt)(m) are established by Chi-Square, Root Mean Square criterias and Max(F)Ent measure. It should be noted that the results are obtained by using MATLAB. It should be noted that the results are obtained by using MATLAB.