An algorithm is presented to determine the Cole–Cole parameters of electricalimpedivity using only measurements of its real part. The algorithm is basedon two multi-fold direct inversion methods for the Cole–Cole and Debyeequations, respectively, and a genetic algorithm for the optimization of themean square error between experimental and calculated data. The algorithmhas been developed to obtain the Cole–Cole parameters from experimental data,which were used to screen cervical intra-epithelial neoplasia. The proposedalgorithm was compared with different numerical integrations of the Kramers–Kronig relation and the result shows that this algorithm is the best. A highimmunity to noise was obtained.