Similarity of Country Rankings on Sustainability Performance

Transactions on Fuzzy Sets and Systems

مقاله 2، دوره 2، شماره 1، مرداد 2023، صفحه 1-21   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1963756.1042

نویسندگان

John N Mordeson¹؛ Sunil Mathew^{* 2}

¹Department of Mathematics, Emeritus Professor of Mathematics Creighton University, Omaha, USA

²Department of Mathematics Associate Professor of Mathematics National Institute of Technology calicut, Calicut, India

چکیده

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.

کلیدواژه‌ها

Fuzzy similarity measures‎؛ ‎Sustainability‎؛ ‎Environmental health‎؛ ‎Ecosystem vitality‎؛ ‎Performance index‎

مراجع

[1] J. N. Mordeson and S. Mathew, Sustainable Development Goals: Analysis by Mathematics of Uncertainty, Springer, Berlin, (2021).
[2] J. N. Mordeson and S. Mathew, Mathematics of Uncertainty for Coping with World Challenges, Climate Change, World Hunger, Modern Slavery, Coronavirus, Human Trafficking, Springer, Berlin, (2021).
[3] X. Wang, B. De Baets, and E. Kerre, A comparative study of similarity measures, Fuzzy Sets and Systems, 73, (1995) 259-268.
[4] Z. A. Wending, J. W. Emerson, A. de Sherbinin, and D. C. Etsy, (lead authors), Performance Index 2020, Global Metrics for the environment: Ranking country performance on sustainability issues, Yale Center for Environmental Law & Policy, Yale University, Center for International Earth Science Information Network, Columbia University, (2020).