Expanding the modelling capabilities of systemic interactions utilizing applied category theory

Abstract

Current systems analysis approaches often lack the necessary clarity to capture details relating to the interactions of systems, defining arbitrary system boundaries, and expanding boundaries to capture interactions of interest. This paper proposes a new approach for identifying and defining system boundaries based on system‐level properties that can be defined in any system. The research proposes a unification of methodological understandings between systems analysis and applied category theory to bring further mathematical rigor to abstract system boundaries and interactions. This unification is demonstrated by the expansion of systemic interactions between an individual and an organization that employs them, periodically integrating applied category theory concepts to expand the scope of modelled information. We conclude with a call to action to further define the applications of applied category theory to systems analysis and to apply the rigorous practices that exist in the field to further the advancement of methods for modelling the exploration of systemic interactions.