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The aim of this article is to review the position of certain countries of the European Union (EU) and Serbia with regard to the development of research and development activities in the function of strengthening in the future by applying relevant measures. The research of the treated problem in this paper is based on the application of the modern multi-criteria decision-making method known as the LMAW-DNMA method. Research on the performance indicators of research and development of the countries of the European Union and Serbia using the LMAW-DNMA method showed that the top five countries of the European Union in terms of research and development are in order: Germany, France, Italy, the Netherlands and Poland. Serbia is positioned in twenty-third place (Croatia twenty-seventh place, Slovenia twenty-fourth place). Therefore, the leading countries of the European Union are at the top in terms of research and development.