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  4. Category-Theoretic Formulation of the Model-Based Systems Architecting Cognitive-Computational Cycle

Category-Theoretic Formulation of the Model-Based Systems Architecting Cognitive-Computational Cycle

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Author(s)
Mordecai, Yaniv
•
Fairbanks, James P.
•
Crawley, Edward F.
Date Issued
February 23, 2021
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Applied Sciences 11 (4): 1945 (2021)
Version
Final published version
Abstract
We introduce the Concept→Model→Graph→View Cycle (CMGVC). The CMGVC facilitates coherent architecture analysis, reasoning, insight, and decision making based on conceptual models that are transformed into a generic, robust graph data structure (GDS). The GDS is then transformed into multiple views of the model, which inform stakeholders in various ways. This GDS-based approach decouples the view from the model and constitutes a powerful enhancement of model-based systems engineering (MBSE). The CMGVC applies the rigorous foundations of Category Theory, a mathematical framework of representations and transformations. We show that modeling languages are categories, drawing an analogy to programming languages. The CMGVC architecture is superior to direct transformations and language-coupled common representations. We demonstrate the CMGVC to transform a conceptual system architecture model built with the Object Process Modeling Language (OPM) into dual graphs and a stakeholder-informing matrix that stimulates system architecture insight.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Creative Commons Attribution
https://creativecommons.org/licenses/by/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/131336
DOI of Published Version
https://doi.org/10.3390/app11041945
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