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To access a unified way to different information sources while hiding the user autonomy, heterogeneity, distribution and evolution of these sources, the authors thought to integrate its different sources of information, one of the existing integration approaches is mediation or virtual approach. The integration in mediation approach is done with a schema, called schema mediation, and a set of mapping links associating schemas of sources to integrate with the global schema. The problem arises in creating the set of correspondences between the elements of the schema global and all the elements of local schemas, in this paper the authors present their approach FMAMS: Fuzzy Mapping Approach for Mediation Systems, a new approach based on fundamental principles of the theory of fuzzy sets. The authors' approach is to define and associate to each link between two elements a weight that reflects the degree of its existence, it is present in an analysis using two components: syntactic and semantic.