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Entropy–Evolutionary Evaluation of Sustainability ( E 3 ): A Novel Approach to Energy Sustainability Assessment—Evidence from the EU-27

Author

Listed:
  • Magdalena Tutak

    (Faculty of Mining, Safety Engineering and Industrial Automation, Silesian University of Technology, 44-100 Gliwice, Poland)

  • Jarosław Brodny

    (Faculty of Organization and Management, Silesian University of Technology, 44-100 Gliwice, Poland)

  • Wieslaw Wes Grebski

    (The Pennsylvania State University, 76 University Drive, Hazleton, PA 18202, USA)

Abstract

In the current geopolitical context, sustainable energy development has become one of the pillars of global economic growth. This issue is well recognized in the European Union, which has undertaken a number of measures to achieve sustainable development goals. For these measures to be effective, it is essential to conduct a reliable, multi-variant diagnosis of the state of energy development in the EU-27 countries. This paper addresses this highly topical and important issue. It presents a new proprietary method—the Entropy–Evolutionary Evaluation of Sustainability ( E 3 )—based on a multidimensional approach to researching and evaluating the state of sustainable energy development in the EU-27 countries between 2014 and 2023. Through the integration of 19 indicators representing the adopted dimensions of the study (energy, economic, environmental, and social), the method enabled both a static assessment and a dynamic analysis of energy transition processes across space and time. To determine the weights of the indicators for each dimension of sustainable energy development, the CRITIC, Entropy, and equal weight methods, along with the Laplace criterion, were applied. The Analytic Hierarchy Process method was used to establish the weights of the dimensions themselves. An important component of the approach was the inclusion of scenario studies, which made it possible to assess sustainable energy development under five variants: baseline, level, equilibrium, transformational, and neutral. These scenarios were based on different weight values assigned to three factors: the level of energy development ( L ), its stability ( S ), and the trajectory of change ( T ~ ). The results, expressed in the form of a total index value and dimensional indices, reveal significant diversity among the EU-27 countries in terms of sustainable energy development. Sweden, Finland, Denmark, Latvia, and Austria achieved the best results, while Cyprus, Malta, Ireland, and Luxembourg—countries heavily dependent on energy imports, with limited diversification of their energy mix and high energy costs—performed the worst. The developed method and the results obtained should serve as a valuable source of knowledge to support decision-making and the formulation of strategies concerning the pace and direction of actions related to the energy transition.

Suggested Citation

  • Magdalena Tutak & Jarosław Brodny & Wieslaw Wes Grebski, 2025. "Entropy–Evolutionary Evaluation of Sustainability ( E 3 ): A Novel Approach to Energy Sustainability Assessment—Evidence from the EU-27," Energies, MDPI, vol. 18(20), pages 1-40, October.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:20:p:5481-:d:1773745
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