In this paper, we will analyze the phenomenon of strategic cooperation between companies competing with each other so far. The analysis will concern the real situation of establishing a strategic alliance between companies. The analysis will consist in assessing the effects of cooperation for each of the companies, depending on whether and in what composition the companies would decide to cooperate. For the analysis, we will use a mathematical model of a cooperative game with fuzzy characteristic functions. Finally, we propose fuzzy interval solutions are a timely extension to classical game theoretic solutions