Improvement of Analytic Hierarchy Process Based on Grey Correlation Model and Its Engineering Application
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 7, Issue 2
Abstract
The complexity of the pairwise comparison process in the analytic hierarchy process (AHP) and the limitation of consistency are challenges that need to be addressed when there are many evaluation factors. An improved AHP is established by integrating the grey correlation model (GCM) and AHP, for which the tedious pairwise comparison process can be abandoned. The improved method integrates the advantages of grey system theory (GST) and AHP, overcomes the inherent limitations of AHP, and can be used to analyze many different types of problems that were previously analyzed by AHP or GST. In this paper, the improvement process is presented in detail, and the effectiveness of the improved AHP method is verified through several existing examples. This work uses the case of the Suning Square project in Langfang, Hebei Province, China, to apply the proposed improved AHP to construct a comprehensive evaluation system. The proposed method is used to evaluate the construction risk of foundation pit excavation, thereby providing technical guidance for efficient implementation of the project.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work was financially supported by the National Natural Science Foundation of China (Grant No. 51538001) and the Beijing Science and Technology Planning Project (Grant No. Z181100009018001). The authors greatly appreciate all support.
References
Aguarón, J., M. T. Escobar, and J. M. Moreno-Jiménez. 2021. “Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process.” Eur. J. Oper. Res. 288 (2): 576–583. https://doi.org/10.1016/j.ejor.2020.06.014.
An, H. 2012. “The safety risk assessment study of pit construction.” [In Chinese.] Master’s dissertation, College of Civil Engineering, Hunan Univ.
Bao, L., K. Liu, L. Yu, and H. Niu. 2009. “Multi-objective risk analysis and documents assessment of bridge construction based on AHP-GRAY.” [In Chinese.] J. Shenyang Jianzhu Univ. (Nat. Sci.) 25 (4): 663–669.
Bouyssou, D., T. Marchant, M. Pirlot, P. Perny, A. Tsoukias, and P. Vincke. 2000. Evaluation models: A critical perspective. Boston: Kluwer.
Chang, D. 1996. “Applications of the extent analysis method on fuzzy AHP.” Eur. J. Oper. Res. 95 (3): 649–655. https://doi.org/10.1016/0377-2217(95)00300-2.
Chen, C. 2004. “Application of grey systematic theory in the embankment bank slope stability analyzing.” [In Chinese.] Master’s dissertation, College of Civil Engineering and Architecture, Guangxi Univ.
China Architecture and Building Press. 2006. Code for construction project management. [In Chinese.] GB/T50326-2006. Beijing: China Architecture and Building Press.
Chu, M. 2005. “The construction of judgment matrix in AHP.” [In Chinese.] Master’s dissertation, Nanjing Univ. of Science and Technology.
Deng, J. 1982. “Control problems of grey system.” [In Chinese.] Syst. Control Lett. 1 (5): 288–294. https://doi.org/10.1016/S0167-6911(82)80025-X.
Deng, X., J. Li, H. Zeng, J. Chen, and J. Zhao. 2012. “Research on computation methods of AHP weight vector and its applications.” Math. Pract. Theory 42 (7): 93–100.
Deng, Y. 2010. “The research on risk assessment of construction engineering project based on grey-fuzzy theory.” [In Chinese.] Master’s dissertation, Business School of Xiangtan Univ.
Faghih, M., and H. Heidari. 2020. “Predicting changes in bitcoin price using grey system theory.” Financ. Innovation 6 (1): 13. https://doi.org/10.1186/s40854-020-0174-9.
Hyun, K. C., S. Min, H. Choi, J. Park, and I. M. Lee. 2015. “Risk analysis using fault-tree analysis (FTA) and analytic hierarchy process (AHP) applicable to shield TBM tunnels.” Tunnelling Underground Space Technol. 49 (Jun): 121–129. https://doi.org/10.1016/j.tust.2015.04.007.
Li, B. 2006. “Construction risk management of metro stations.” [In Chinese.] Master’s dissertation, School of Civil Engineering, Beijing Jiaotong Univ.
Li, B. D. 2007. “Research on consistency modification method of judgment matrix in the AHP.” [In Chinese.] Master’s dissertation, School of Mathematics and Statistics, Lanzhou Univ.
Li, F. 2013. “Risk analysis method in construction of open-cut subway station and its applications in engineering.” [In Chinese.] Doctoral dissertation, Faculty of Architecture, Civil and Transportation Engineering, Beijing Univ. of Technology.
Li, F., K. K. Phoon, X. Du, and M. Zhang. 2013. “Improved AHP method and its application in risk identification.” J. Constr. Eng. Manage. 139 (3): 312–320. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000605.
Li, J. 2017. “Research on deformation observation technology of foundation pit based on gray system theory.” Agro Food Ind. Hi-Tech 28 (3): 1–5.
Liu, S. F., et al. 2017a. Grey system theory and its application. [In Chinese.] Beijing: Science Press.
Liu, S. Q., Q. Wu, and Y. Zeng. 2017b. “The improved AHP vulnerable index method based on GIS.” J. China Univ. Geosci. 42 (4): 625–633.
Liu, W. 1999. “A new method of rectifying judgment matrix.” [In Chinese.] Chin. J. Syst. Eng. Theory Pract. 19 (9): 100–104.
Luo, X., X. Yan, Y. Chen, M. Yue, and J. Li. 2020. “The prediction of shale gas well production rate based on grey system theory dynamic model GM(1, N).” J. Pet. Explor. Prod. Technol. 10 (8): 3601–3607. https://doi.org/10.1007/s13202-020-00954-w.
Luo, Z., and S. Yang. 2004. “Comparative study on several scales in AHP.” [In Chinese.] Chin. J. Syst. Eng. Theory Pract. 24 (9): 51–60.
Ma, X. 2017. “The construction of phase tracking audit risk assessment system for the implementation of construction projects.” Agro Food Ind. Hi-Tech 28 (3): 907–910.
Nishizawa, K. 2016. “Improvement of the weights due to inconsistent pairwise comparisons in the AHP.” In Vol. 57 of Proc., Intelligent Decision Technologies 2016. Smart Innovation, Systems and Technologies, edited by I. Czarnowski, A. Caballero, R. Howlett, and L. Jain. Cham, Switzerland: Springer. https://doi.org/10.1007/978-3-319-39627-9_35.
Peng, X., and D. Yuan. 2016. “The effect analysis of subway tunnel construction accidents on adjacent buildings.” In Proc., 4th Int. Conf. on Civil, Architectural and Hydraulic Engineering. Guangzhou, China: CRC Press. https://doi.org/10.1201/b19383-81.
Qiu, H. 2014. “Foundation pit engineering project construction risk assessment and management.” [In Chinese.] Master’s dissertation, College of Management Science, Chendu Univ. of Technology.
Ruan, Y., and L. Ye. 2003. “Determination of deep foundation pit supporting scheme by using the gray system theory and method.” [In Chinese.] Chin. J. Rock Mech. Eng. 22 (7): 1203–1206.
Satty, T. 1977. “Scaling method for priorities in hierarchical structures.” J. Math. Psychol. 15 (3): 234–281. https://doi.org/10.1016/0022-2496(77)90033-5.
Shu, K., and Z. Liang. 1990. “Exponential scaling in method in AHP.” [In Chinese.] Chin. J. Syst. Eng. Theory Pract. 10 (1): 6–8.
Sun, F. 2018. “Restrictive factors and output forecast of green development of agricultural industry based on gray system.” IOP Conf. Ser.: Earth Environ. Sci. 108 (4): 042118. https://doi.org/10.1088/1755-1315/108/4/042118.
Tian, J., B. Yu, D. Yu, and S. Ma. 2014. “Missing data analyses: A hybrid multiple imputation algorithm using gray system theory and entropy based on clustering.” Appl. Intell. 40 (2): 376–388. https://doi.org/10.1007/s10489-013-0469-x.
Wang, H., and D. Ma. 1993. “Scale evaluation and new scale methods.” [In Chinese.] Chin. J. Syst. Eng. Theory Pract. 13 (5): 24–26.
Wang, J., D. Li, and S. Wu. 2010. “Analysis based on decision relational degree for adaptively adjusting weights of experts.” Comput. Eng. Appl. 46 (33): 17–20.
Wang, X. 2011. “The construction project risk management: Based on the gray system theory application.” [In Chinese.] Master’s dissertation, School of Economics & Management, Nanchang Univ.
Wu, Z., and J. Tu. 2021. “Managing transitivity and consistency of preferences in AHP group decision making based on minimum modifications.” Inf. Fusion 67 (Mar): 125–135. https://doi.org/10.1016/j.inffus.2020.10.012.
Xu, S. 1998a. Analytical hierarchy process theory. [In Chinese.] Tianjin, China: Tianjin University Press.
Xu, Z. 1998b. “A new scale method in analytic hierarchy process.” [In Chinese.] Chin. J. Syst. Eng. Theory Pract. 18 (10): 74–77.
Xu, Z. 1998c. “Least deviations square priority method of comparison matrix in the analytic hierarchy process.” [In Chinese.] Syst. Eng. Theory Methodol. Appl. 7 (3): 72–76.
Zhu, E., G. Yang, S. Xu, and G. Ma. 2007. “Improve power quality of coal mine power network based on gray system theory.” [In Chinese.] J. Coal Sci. Eng. 13 (2): 219–223.
Zhu, K., Y. Jing, and D. Chang. 1999. “A discussion on extent analysis method and applications of fuzzy AHP.” Eur. J. Oper. Res. 116 (2): 450–456. https://doi.org/10.1016/S0377-2217(98)00331-2.
Zuo, J. 1988. “The indirect method of a judgment matrix in analytic hierarchy process.” [In Chinese.] Syst. Eng. 10 (6): 56–63.
Information & Authors
Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 7 • Issue 2 • June 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 29, 2020
Accepted: Dec 10, 2020
Published online: Feb 10, 2021
Published in print: Jun 1, 2021
Discussion open until: Jul 10, 2021
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.