Abstract
This paper reports research in progress for the formalization of the notion of information systems design theory within the framework of formal logic and category theory. The formalization starts with the concept of four relational systems (empirical, subjective, conceptual and formal) that are linked by the four activities for design science research proposed by Venable (2006). Category theory is used as the basis of representing the concept of an information systems design theory as a formal framework by representing each of the four relational systems as either types (theories) or tokens (models). The arrows (morphisms) between the four concepts are explained using Barwise and Seligman’s (1997) definition of “infomorphisms”. The contributions of this research are that it explicates the role of kernel theory (background theory) in information systems design theory and it links this design theory to information fusion and information flow research efforts. It thus provides structures that represent a formalization of the design of information systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Barwise, J., Seligman, J.: Information Flow – The Logic of Distributed Systems. Cambridge University Press, Cambridge (1997)
Baskerville, R., Pries-Heje, J.: Explanatory Design Theory. Business & Information Systems Engineering 2(5), 271–282 (2010)
Gregor, S., Jones, D.: The Anatomy of a Design Theory. Journal of the Association for Information Systems 8(5), Article 19 (2007)
Kokar, M.M., Tomasik, J.A., Weyman, J.: A Formal Approach to Information Fusion. In: Proceedings of the 2nd International Conference on Information Fusion, pp. 133–140 (1999)
Lawvere, F.W., Schanuel, S.H.: Conceptual Mathematics: A First Introduction to Categories. Cambridge University Press, Cambridge (1997)
Pierce, B.C.: Basic Category Theory for Computer Scientists. The MIT Press, Cambridge (1991)
Turoff, M.: Virtuality. Communications of the ACM 40(9), 38–43 (1997)
van Bon, J.: Foundations of ITIL V3. Van Haren Publishing, Zaltbommel (2007); ITIL stands for IT Infrastructure Library. ITIL is a major resource for IT Service Management concepts and approaches
Venable, J.R.: A Framework for Design Science Research Activities. In: Khosrow-Pour, M. (ed.) Proceedings of the 2006 Information Resource Management Association Conference, Washington, DC, USA, May 24-26 (2006)
Walls, J.G., Widmeyer, G.R., El Sawy, O.A.: Building An Information System Design Theory For Vigilant EIS. Information Systems Research 3(1), 36–59 (1992)
Williams, K., Healy, M., Barker, R.: Industrial Applications of Software Synthesis via Category Theory—Case Studies Using Specware. Automated Software Engineering 8(1), 7–30 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Widmeyer, G.R. (2012). Towards a Formal Approach to Information Systems Design Theory Using Category Theory. In: Peffers, K., Rothenberger, M., Kuechler, B. (eds) Design Science Research in Information Systems. Advances in Theory and Practice. DESRIST 2012. Lecture Notes in Computer Science, vol 7286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29863-9_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-29863-9_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29862-2
Online ISBN: 978-3-642-29863-9
eBook Packages: Computer ScienceComputer Science (R0)