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Category theory (CT) is a branch of mathematics concerned with the representation and composition of structured relationships. Recent interest in systems engineering (SE) stems from the possibility that CT might provide a principled mathematical foundation that SE currently lacks. The case is bolstered by a broad array of existing applications in probability, computing, data and dynamics, as well as a track record of unification in science and mathematics. However, the tools and methodology for applying CT within engineering are mostly at the level of prototype and proof-of-concept, and there is significant research needed to adapt these methods to an SE context.
Breiner, S.
, Subrahmanian, E.
and Sriram, R.
(2023),
Category Theory, Handbook of Systems Engineering, Springer, New Delhi, , [online], https://doi.org/10.1007/978-3-030-27486-3_85-1, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=935087
(Accessed October 10, 2025)