Cutting operation is one of the most significant processes in shipbuilding. In the shipyard industry, there are various cutting technologies and the selection of the appropriate cutting technology for the production process is a serious engineering problem. The main aim of this study is to find out the most appropriate cutting technique for shipyard industry by considering conflicting factors such as cost, risk, and performance. An integrated method including fuzzy, analytic hierarchy process, information axiom, and technique for order performance by similarity to ideal solution has been utilized for the evaluation procedure. Oxy-fuel technology is determined as the most appropriate cutting technology for shipyard industry.