Fuzzy modeling system based on GA fuzzy rule extraction and hybrid of differential evolution and Tabu search approaches: Application in synthesis gas conversion to valuable hydrocarbons process

•GA Fuzzy approach is proposed to model synthesis gas conversion to hydrocarbons process.•Combination of DE and Tabu search techniques is proposed to optimize fuzzy set parameters.•Fuzzy rule extraction based on K-means clustering is applied.•A logarithmic distance is proposed to provide an initial guess for clusters and their centers.•The prediction of CO conversion and olefin and paraffin selectivities is performed by the proposed method.