Identifying and assessing the most critical work-related hazards is essential for implementing effective corrective actions through Occupational Health and Safety Risk Assessment (OHSRA). Due to the inherent ambiguity of human judgment, it is often difficult to evaluate occupational risks using precise numerical values during the OHSRA process. To address this challenge, various mathematical techniques have been developed to support risk-based decision-making by managing uncertainty, identifying optimal solutions, and ranking alternatives. This study introduces a novel OHSRA model for assessing and prioritizing occupational hazards, integrating Modified Failure Mode and Effects Analysis (MFMEA), Shannon entropy, and the Combined Compromise Solution (CoCoSo) method. Specifically, the risk assessment is based on five criteria: severity (S), occurrence (O), detectability (D), prevention (P), and cost (C). To manage the complexity and vagueness of expert evaluations, Shannon entropy is used to determine the weights of the criteria, while the CoCoSo method ranks the identified hazards. The robustness of the proposed framework is evaluated through a one-at-a-time (OAT) sensitivity analysis by varying each criterion weight by ±0.05, ±0.10, and ±0.20. A case study of the stone crusher unit in the ceramic industry showcases the practical applicability of the proposed methodology. The key advantages of the proposed approach include its flexibility in handling complex expert data and its effectiveness in delivering reliable and discriminative risk evaluations of occupational hazards