Purpose This study assesses outsourcing risks using the fuzzy analytical hierarchy process (FAHP). Design/methodology/approach This descriptive research combines both qualitative and quantitative approaches. Risks identified in the literature review were classified with FAHP using questionnaire data from respondents in operations, procurement and risk management in Brazilian Navy Industrial Military Organizations (OMPS-I, by its Portuguese acronym). Findings The results indicate that FAHP is a method capable of producing relevant information to decision-making in the risk management process. A framework was created incorporating 16 major risks related to outsourcing. The results point to higher inherent risk levels related to outsourcing in the context of OMPS-Is: in order, hidden costs and unrealized savings; loss of knowledge/skills and/or corporate memory and difficulty in reacquiring a function; and loss of opportunities and reputation. The category of economic risk was revealed as the most important. Originality/value This study improves understanding of outsourcing risks and improves risk assessment by refining decision-making information and developing a system of decision analysis with several criteria. It also contributes to the development and implementation of a usable version of decision analysis with several criteria at a managerial level.