The multidisciplinary field of occupational health and safety (OHS) aims to identify, assess, and mitigating hazards that arise in the workplace or due to the execution of the work. The Fine-Kinney method is a quantitative risk assessment widely applied in many industries to identify, evaluate and prevent potential hazards. Despite the widespread usage of the classic Fine-Kinney approach in several research, its effectiveness in addressing the issue of objective risk appraisal among decision-makers is limited. Therefore, this study proposes a comprehensive occupational risk assessment framework that integrates the Fine-Kinney method with the analytical hierarchy process (AHP) and weighted aggregated sum product assessment (WASPAS) under the Fermatean fuzzy environment. The Fermatean fuzzy set (FFS) offers a more flexible solution in determining the uncertainty and vagueness of information, as it covers membership and non-membership degrees in a wider area compared to intuitionistic and Pythagorean fuzzy sets. The AHP approach is used to calculate the weightage of each Fine-Kinney risk parameter (probability (P), exposure (E), and consequence (C)), and WASPAS method is used to find the ranking of the hazards. In the proposed model, Fermatean fuzzy weighted geometric (FFWG) operator is used for aggregation of expert opinions. Finally, sensitivity and comparative analyses are also performed to further highlight the adaptability and efficiency of the proposed occupational health and safety risk assessment (OHSRA) model, and a case study analyzing occupational hazards for aquaculture operations is presented to demonstrate the model's rationality and feasibility.