A behavior and, or structure preserving mapping.
F. SUPPE, who resumes B. P. ZEIGLER's "Theory of Modeling and Simulation" explains: "In the case of modeling, the morphism is a mapping from base models to lumped models. The former are (usually unknown) isolated (i.e. input-free) automata systems that structurally characterize a portion of reality (a closed body of potentially acquirable data); the latter, the lumped models, are (Simpler) automaton systems. Similarly, simulation is construed as an appropriate morphism holding between the computer program specification and the lumped model. One simulates reality by correctly simulating a valid model of reality or its base model".
"Morphisms are mappings between systems which preserve behavior and/or "structure", and, depending upon how much is preserved, a variety of different types of morphisms are possible" (1978, p.128).
It is thus very important to understand that only some specific parts of behavior or structure are mapped, which imply again, this time in computer simulation that "the map is not the territory".
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Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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