Integration of hybrid score functions to design new adaptive EWMA control chart to monitor the process mean shift

•Integration of hybrid score functions is introduced for statistical process control.•An Adaptive EWMA (AEWMA) based on Integration of hybrid score functions is proposed.•The objective is to efficiently detect shift in the process location parameter.•Findings based on numerical results and visual presentation reveal the superiority.•Real-life data of air pollutant from gas turbine is taken to show the practicality.