Abstract
In this paper, we give a mathematical foundation of diagramming methods that is used for describing basic elements and their relationship. We construct a mathematical structure of class and object diagrams so that some mathematical operations on the diagrams can be naturally defined. The paper shows that a set of class diagrams and a set of object diagrams are both closed under these operations, and that interpretation mapping from a set of class diagrams to a corresponding set of object diagrams preserves the class diagrams operations such as union and intersection.
Recommended Citation
Tanabu, Motonari, "A Mathematical Foundation of Diagramming Methods" (2009). AMCIS 2009 Proceedings. 162.
https://aisel.aisnet.org/amcis2009/162