Nowadays, green engineering strategies have become important for the industries, so global warming and landslides are a sign that nature is disturbed, the sustainability of green engineering and to leave a better environment for the future generation we need to show importance to the consumption of natural resources. There are different methods in production to protect green engineering and environmental resources.These techniques vary depending on the production or service sector and their application areas.Some of these techniques are Environmental Failure Mode and Effect Analysis (EFMEA) and Process Failure Mode and Effect Analysis (PFMEA). These two tools were used to evaluate Risk Priority (RPN) numbers for prioritizing the risk assignment in a chemical factory in the concept of green engineering. The identified components are calculated in the multi-criteria decision making (MCDM). This technique identifies RPN numbers and combines the weighting factor to the fuzzy parameter by the help of AHP. The effectiveness of this method is explained in fuzzy parameters of AHP and indicated with numerical example in a case study. In this study, the experts have evaluated fuzzy AHP. Keywords: FMEA, AHP, Risk Assignment, Risk Priority Number,Fuzzy FMEA,green engineering.