similarity of country rankings on sustainability performance

In this paper, we extend the fuzzy similarity measure of two rankings to any finite number of rankings. we provide a method to convert a measure for a finite number of rankings to a number that represents the number for two rankings. we apply our results to the sustainability ranking of countries by the environmental performance index (epi). the 2020 epi provides a summary of the state of sustainability around the world. it uses 32 performance indicators across 11 categories. these indicators provide a way to determine problems, set targets, track trends, understand outcomes, and identify best policy practices. the epi ranks 180 countries on environmental health and ecosystem vitality. the epi provides a method in support of efforts to meet the targets of the un sustainable development goals. the epi determined that the global west region ranked the highest. the purpose of our project is to find the similarity of the 11 rankings of the countries for eight different regions.