Mathematical foundations for relational oriented systems engineering (ROSE)

Relational oriented systems engineering (ROSE) is a viewpoint on systems engineering that is based on domains and mathematical relations. It is a model-based formalism that integrates and extends the work of Yi Lin and George Klir on relational structures and relational homomorphism in systems engineering. It is also appropriate from the viewpoint of universal algebra. The mathematical formalism also admits a graphical interpretation. The mathematical foundation for ROSE supports the rigorous development of structures for the design of systems and the assemblage of systems of systems that extend the methods of Nam Suh on axiomatic design theory. The ROSE formalism is rooted in the Tarski theory of models in mathematical logic but has been adapted to the practice of engineering. The various mathematical viewpoints that comprise ROSE are seen to comprise a coherent foundation for a relational orientation on systems and system of systems engineering.