Research Paper:
Quantifying Design Hypothesis Certainty in Early-Stage Design Using Dempster–Shafer Theory
Yuga Suzuki*, Yusuke Tsutsui*,
, Yoshiki Shimomura**
, and Akira Tsumaya*

*Okayama Prefectural University
111 Kuboki, Soja, Okayama 719-1197, Japan
Corresponding author
**Tokyo Metropolitan University
Tokyo, Japan
Modern artificial objects have become increasingly complex, and this complexity is mirrored in the design process itself. When critical design changes occur in downstream phases, there is a high risk of deterioration in quality, cost, and delivery owing to rework across related processes. Therefore, potential design changes must be predicted in the early stages of design and proactive measures should be taken. In the early design stage, the process is inherently based on fallible design hypotheses, and the fallibility of these hypotheses can lead to design changes in later stages. Accordingly, the certainty of each hypothesis must be evaluated by considering the evidence that supports it. However, design hypotheses are often supported by multiple heterogeneous pieces of evidence with varying degrees of support, and the information available in the early stage is typically incomplete. As a result, rationally evaluating the certainty associated with each hypothesis is not easy. To address this issue, this study proposes a transparent and systematic method to quantify the certainty of design hypotheses while accounting for incomplete evidential information in the early design phase. It first organizes the conceptual foundation of the evidence underlying hypothesis certainty and models it. Then, by applying Dempster–Shafer theory, a computational framework capable of determining proposition certainty from multiple evidence sources under incomplete information, we propose a method to quantify the certainty of design hypotheses. The proposed method is applied to hypotheses generated in a design experiment, and procedural validity and user evaluation were examined. This study introduces a new approach for managing fallible design knowledge based on Dempster–Shafer theory, suggesting a conceptual basis for the early detection and mitigation of risks associated with potential design changes.
- [1] S. Cho and D. S. Eppinger, “A simulation-based process model for managing complex design projects,” Proc. of the 2005 IEEE Int. Conf., Vol.52, Issue 3, pp. 316-328, 2005. https://doi.org/10.1109/TEM.2005.850722
- [2] H. W. Wood and L. C. Dym, “Integrated computational synthesis: A design perspective,” Proc. of the 2003 AAAI Spring Symp., 2003.
- [3] J. R. Baxter and N. Berente, “The process of embedding new information technology artifacts into innovative design practices,” Information and Organization, Vol.20, pp. 133-155, 2010. https://doi.org/10.1016/j.infoandorg.2010.04.001
- [4] C. Capelli, G. Rosa, F. Butti, G. Ferretti, A. Veicsteinas, and P. E. Prampero, “Energy cost and efficiency of riding aerodynamic bicycles,” European J. of Applied Physiology, Vol.67, pp. 144-149, 1993. https://doi.org/10.1007/BF00376658
- [5] T. Munzner, “A nested model for visualization design and validation,” IEEE Trans. on Visualization and Computer Graphics, Vol.15, pp. 921-928, 2009. https://doi.org/10.1109/TVCG.2009.111
- [6] Y. Suzuki, Y. Tsutsui, and A. Tsumaya, “A method for design rework risk visualisation based on design hypotheses modelling,” Proc. of Design and Systems Conf., 2003 (in Japanese).
- [7] Y. Tsutsui, Y. Suzuki, Y. Shimomura, and A. Tsumaya, “A fallible design language network for assessing design change risk in the early stage of design,” 2025. https://doi.org/10.2139/ssrn.5333039
- [8] W. Bulleit, “Uncertainty in structural engineering,” Practice Periodical on Structural Design and Construction, Vol.13, No.1, pp.24-30, 2008. https://doi.org/10.1061/(ASCE)1084-0680(2008)13:1(24)
- [9] P. Cash and M. Kreye, “Exploring uncertainty perception as a driver of design activity,” Design Studies, Vol.54, pp. 50-79, 2018. https://doi.org/10.1016/j.destud.2017.10.004
- [10] A. M. M. Ullah, “Handling design perceptions: An axiomatic design perspective,” Research in Engineering Design, Vol.54, No.3, pp. 109-117, 2000. https://doi.org/10.1007/s00163-005-0002-2
- [11] Y. Kitamura, J. Fujikawa, M. Imazono, K. Asano, T. Inazumi, T. Kizu, Y. Funakawa, M. Ojima, and Y. Iizuka, “Ontological description of design rationale of steel design knowledge and its use,” The Japanese Society for Artificial Intelligence, Vol.38, No.5, 2023 (in Japanese). https://doi.org/10.1527/tjsai.38-5_C-MC1
- [12] Y. Nomaguchi and K. Fujita, “A design support framework through dynamic deployment of hypothesis and verification in the design process,” The Japanese Society for Artificial Intelligence, Vol.25, No.3, pp.514-529, 2010 (in Japanese). https://doi.org/10.1527/tjsai.25.514
- [13] T. Kawano, Y. Tsutsui, Y. Mitake, S. Alfarisi, H. Wang, and Y. Shimomura, “A typology of design hypotheses to improve design quality,” Proc. of the 19th Int. Conf. on Precision Engineering, 2022.
- [14] L. A. Zadeh, “Fuzzy sets,” Information and Control, Vol.8, Issue 3, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X
- [15] A. M. M. Ullah, M. M. Rashid, and J. Tamaki, “On some unique features of C–K theory of design,” CIRP J. of Manufacturing Science and Technology, Vol.5, Issue 1, pp. 55-66, 2012. https://doi.org/10.1016/j.cirpj.2011.09.001
- [16] G. Shafer, “A mathematical theory of evidence,” Princeton University Press, 1976.
- [17] D. Moody, “The method evaluation model: A theoretical model for validating information systems design methods,” Proc. of European Conf. on Information Systems 2003, 2003.
This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.