Multi-Resolution Modeling (MRM) is a relatively new research area. With the development of distributed interactive simulation, especially as the emergence of HLA, multi-resolution modeling becomes one of the key technologies for advanced modeling and simulation. There is little research in the area of the theory of multi-resolution modeling, especially the formal description of MRM. In this paper, we present a new concept for the description of multi-resolution modeling, named multi-resolution model family (MF). A multi-resolution model family is defined as the set of different resolution models of the same entity. The description of MF includes two parts: models of different resolution and their relations. Based on this new concept and DEVS formalism, we present a new multi-resolution model system specification, named MRMS (Multi-Resolution Model system Specification). And we present and prove some important properties of MRMS, especially the closure of MRMS under coupling operation. MRMS provides a foundation and a powerful description tool for the research of MRM. Using this description, we can further study the theory and implementation of MRM.
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