A novel process analysis methodology called IEEA (Inverse Exergoeconomical and Environmental Analysis) is introduced for the first time, which combines economic, energetic, and environmental analyses. The approach is derived basically from classical approaches by using ecological indicators and an inverse economic analysis. By combining these with the results of an exergetic analysis, strategies for a process improvement can be developed systematically through the use of key indicators. The IEEA is applied to processes for the treatment of hydrogen sulfide containing sour gases, which appear during coking processes of mineral coal. It can be shown that a high benefit can be achieved by performing the proposed IEEA improvement steps.