We have presented the methodology OMAR to design applications with the object oriented paradigm and to implement them on a relational DBMS through the support of automatic tools. We have used visual language technology to develop prototype front end CASE tools supporting the OMAR modeling paradigm. In particular, it has been developed a visual language compiler for the graphical notations of the OMT methodology  and have been set mapping rules as semantic routines.
There are several issues that deserve further investigation. First of all, we are currently extending OMAR to handle the notations and the additional diagrams provided within UML . Moreover, the inference engine is being extended to include fuzzy mapping rules. In particular, we are defining T-norms to provide criteria for better refining the relational data schema.