The main aim of Enterprise Architecture (EA) is to master the development and the evolutions of Information Systems (IS). The EA process consists in designing on several views the IS target architecture, according to the company strategy. The business view represents the target organization of the considered company. The functional view focuses on the target functional architecture of the considered IS. In this paper, the authors propose a new formal solution to analyze the consistency between the target functional view and the target business view of telecom services.