The paper presents the concept of network systems competitiveness evaluations. The aim of the paper is to draw the attention on the necessity of deepening analysis of new factors which are dedicated to assess competitiveness of modern business systems. The paper presents the concept of the synthetic measure for global business networks - creation of value added in coopetition networks. It is the project of multidimensional assessment of network systems with international multilevel competitiveness structures. In the paper is presented the own concept of indicator - to take into account the qualitative dimension of building international competitiveness based on available quantitative data.