Assessing Regional Health and Environmental Outcomes Using Weighted Neutrosophic Similarity Measures: A Benchmarking Approach for Sustainable Development

Humanity faces significant challenges in achieving internationally agreed sustainable development goals, particularly in reducing public health risks and improving the environmental quality. Measuring and comparing performance across regions requires a systematic and transparent framework. This study explores the application of sustainable development indicators, including a mortality rate attributed to exposure to unsafe WASH services (SDG 3.9.2), a mortality rate attributed to household and ambient air pollution (SDG 3.9.1), and a mortality rate attributed to unintentional poisoning to assess regional health outcomes. Using data from 50 countries across five sub-regions of Asia, this research applies a weighted neutrosophic similarity measure based on the Hausdorff metric to evaluate regional alignment with an ideal benchmark. The results reveal significant disparities across regions, highlighting Central Asia as the closest to the benchmark, while South and West Asia exhibit substantial gaps. These findings provide actionable insights for policymakers to improve public health infrastructure and address environmental challenges, promoting equitable and sustainable development.