The sustainability of health systems is examined through the lens of quality of care, emphasizing its long-term impact on public health. This paper presents research that extends traditional healthcare evaluation by integrating health outcomes with system resilience and environmental effects, in addition to financial costs. It uses a multi-criteria decision analysis (MCDA) approach using the Sustainable Development Goals (SDGs) for health. A key challenge with widely used MCDA methods, particularly those from American schools, is their compensatory nature. These methods allow poor performance in some criteria to be compensated by advantageous performance in others, which is inconsistent with the strong sustainability paradigm. To address this limitation, this paper presents the Strong Sustainability Paradigm based Technique for Order Preference by Similarity to Ideal Solution (SSP-TOPSIS) method, a novel approach designed to reduce compensatory effects in multi-criteria assessments. The contribution enhances understanding of sustainable health systems and offers a sophisticated tool for policymakers seeking to balance healthcare quality, resilience, and environmental impact in line with strong sustainability principles.