Theoretic interplay between abstraction, resolution, and fidelity in model information

Modeling and simulating a real world scenario is fundamentally an abstraction that takes only part of the given scenario into the model. Furthermore, the level of detail in the model, a.k.a. the resolution, plays an important role in the modeling and simulation process. Finally, the abstraction and resolution of the model determine the fidelity of the modeling and simulation, which becomes the ultimate utility for the model users. While abstraction, resolution and fidelity are the corner stones of the modeling and simulation discipline, they are often casually utilized. Moreover, their interplay is not investigated in-depth with explicit operationalization of the concepts. This article operationalizes the concept of abstraction, resolution, and fidelity by focusing on the aspect of model information. This theoretic investigation answers propositions involving these concepts, i.e. whether or not a higher resolution model has higher fidelity and why, through set theoretic approaches.