<p>Remote Patient Monitoring Systems (RPMS) are vital for tracking patients’ health outside clinical settings, such as at home or in long-term care facilities. Wearable sensors play a crucial role in these systems by continuously collecting and transmitting health data. However, selecting the optimal sensor is challenging due to the wide variety of available options and diverse patient needs. To address this paper, introduce score and accuracy functions for Triangular Fermatean Fuzzy Numbers (TFFNs) and propose a novel Triangular Fermatean Fuzzy Sugeno–Weber Weighted Average (TFFSWWA) aggregation operator. In this paper establish key properties of TFFSWWA, confirming its ability to manage fuzzy uncertainty effectively. Using TFFSWWA, we develop an improved Evaluation based on Distance from Average Solution (EDAS) method for multi-criteria group decision-making (MCGDM) under TFFN settings. A case study on wearable sensor selection demonstrates the proposed model’s efficiency. We present an algorithm and a flowchart to guide the decision-making process, alongside a computational example that verifies the method’s reliability. Sensitivity analysis and comparison with existing methods show that the proposed approach improves decision accuracy and stability, highlighting its practical utility in healthcare decision-making.</p>