Improved Interval Evidence Theory–Based Fuzzy AHP Approach for Comprehensive Condition Assessment of Long-Span PSC Continuous Box-Girder Bridges
Publication: Journal of Bridge Engineering
Volume 24, Issue 12
Abstract
A comprehensive condition assessment of long-span prestressed concrete (PSC) continuous box-girder bridges in service is the foundation of bridge maintenance and management. In this paper, first, the original interval evidence theory is improved through the conflict test of original evidence and the correction of conflict evidence based on credibility. Second, a new comprehensive condition assessment method considering the interval uncertainty of measured data and the impact of measured conflict data is proposed for long-span PSC continuous box-girder bridges through the natural integration of the improved interval evidence theory (IIET) and the fuzzy analytic hierarchy process (AHP). Third, to illustrate the implementation process of the proposed method, a three-span PSC continuous box-girder bridge is assessed considering the effect of spatial variability of materials and structural dimensions. The advantages of the proposed method over the existing AHP assessment method and the traditional combination method are verified by comparing the condition assessment results with the actual status of components or the whole bridge.
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Acknowledgments
Financial support was supplied by the National Basic Research Program of China (973 Program, grant No. 2015CB057706), the National Natural Science Foundation of China (grant No. 51778068), and Key Project of Hunan Provincial Education Department (grant No. 18A136).
References
Akgul, F. 2013. “Development of a bridge management system incorporating a newly developed model for element condition evaluation based on damage effects.” Struct. Infrastruct. Eng. 9 (12): 1206–1224. https://doi.org/10.1080/15732479.2012.674536.
Andrić, J. M., and D. G. Lu. 2016. “Risk assessment of bridges under multiple hazards in operation period.” Saf. Sci. 83: 80–92. https://doi.org/10.1016/j.ssci.2015.11.001.
Bao, Y., Y. Xia, H. Li, Y. Xu, and P. Zhang. 2013. “Data fusion-based structural damage detection under varying temperature conditions.” Int. J. Struct. Stab. Dyn. 12 (6): 67–75. https://doi.org/10.1142/S0219455412500526.
Bolar, A., S. Tesfamariam, and R. Sadiq. 2013. “Condition assessment for bridges: A hierarchical evidential reasoning (HER) framework.” Struct. Infrastruct. Eng. 9 (7): 648–666. https://doi.org/10.1080/15732479.2011.602979.
Chan, F. T. S., M. H. Chan, and N. K. H. Tang. 2000. “Evaluation methodologies for technology selection.” J. Mater. Process. Technol. 107 (1–3): 330–337. https://doi.org/10.1016/S0924-0136(00)00679-8.
Chen, J. F., H. N. Hsieh, and Q. H. Do. 2015. “Evaluating teaching performance based on fuzzy AHP and comprehensive evaluation approach.” Appl. Soft Comput. 28: 100–108. https://doi.org/10.1016/j.asoc.2014.11.050.
Dempster, A. P. 1967. “Upper and lower probabilities induced by a multivalued mapping.” Ann. Math. Stat. 38 (2): 325–339. https://doi.org/10.1214/aoms/1177698950.
Denoeux, T. 1999. “Reasoning with imprecise belief structures.” Int. J. Approximate Reasoning 20 (1): 79–111. https://doi.org/10.1016/S0888-613X(00)88944-6.
Engelund, S., and J. D. Sørensen. 1998. “A probabilistic model for chloride-ingress and initiation of corrosion in reinforced concrete structures.” Struct. Saf. 20 (1): 69–89. https://doi.org/10.1016/S0167-4730(97)00022-2.
Entani, T., and K. Sugihara. 2012. “Uncertainty index based interval assignment by Interval AHP.” Eur. J. Oper. Res. 219 (2): 379–385. https://doi.org/10.1016/j.ejor.2012.01.010.
Ertuğrul, İ, and N. Karakaşoğlu. 2008. “Comparison of fuzzy AHP and fuzzy TOPSIS methods for facility location selection.” Int. J. Adv. Manuf. Technol. 39 (7–8): 783–795. https://doi.org/10.1007/s00170-007-1249-8.
Frangopol, D. M., and G. Hearn. 1996. Structural reliability in bridge engineering: Design, inspection, assessment, rehabilitation and maintenance. New York: McGraw-Hill.
Fu, Y. W., and W. Yang. 2014. “Combination rule based on proportional redistribution of generalized conflict for evidence theory.” Chin. J. Electron. 23 (3): 533–538.
Ghosn, M. et al. 2016. “Reliability-based performance indicators for structural members.” J. Struct. Eng. 142 (9): F4016002. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001546.
Gumus, A. T. 2009. “Evaluation of hazardous waste transportation firms by using a two step fuzzy-AHP and TOPSIS methodology.” Expert Syst. Appl. 36 (2): 4067–4074. https://doi.org/10.1016/j.eswa.2008.03.013.
Guo, T., Z. H. Chen, T. Liu, and D. Z. Han. 2016. “Time-dependent reliability of strengthened PSC box-girder bridge using phased and incremental static analyses.” Eng. Struct. 117: 358–371. https://doi.org/10.1016/j.engstruct.2016.03.011.
Guo, T., R. Sause, D. M. Frangopol, and A. Q. Li. 2011. “Time-dependent reliability of PSC box-girder bridge considering creep, shrinkage, and corrosion.” J. Bridge Eng. 16 (1): 29–43. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000135.
Ishizaka, A., and N. H. Nguyen. 2013. “Calibrated fuzzy AHP for current bank account selection.” Expert Syst. Appl. 40 (9): 3775–3783. https://doi.org/10.1016/j.eswa.2012.12.089.
Karimi, A. R. 2001. “Probabilistic assessment of deterioration and strength of concrete bridge beams and slabs.” Ph.D. thesis, Department of Civil and Environmental Engineering, Univ. of London.
Kawamura, K., and A. Miyamoto. 2003. “Condition state evaluation of existing reinforced concrete bridges using neuro-fuzzy hybrid system.” Comput. Struct. 81 (18–19): 1931–1940. https://doi.org/10.1016/S0045-7949(03)00213-X.
Kenshel, O. 2009. “Influence of spatial variability on whole life management of reinforced concrete bridges.” Ph.D. thesis, Department of Civil, Structural & Environmental Engineering, Trinity College Dublin.
Komal. 2018. “Fuzzy reliability analysis of DFSMC system in LNG carriers for components with different membership function.” Ocean Eng. 155: 278–294. https://doi.org/10.1016/j.oceaneng.2018.02.061.
Lefevre, E., O. Colot, and P. Vannoorenberghe. 2002. “Belief function combination and conflict management.” Inf. Fusion 3 (2): 149–162. https://doi.org/10.1016/S1566-2535(02)00053-2.
Lin, Y. Z. 2009. “Research on evaluation theory and method of long and medium span prestressed concrete bridges.” [In Chinese.] Ph.D. thesis, School of Transportation Science and Engineering, Harbin Institute of Technology.
Liu, H. B., X. Q. Wang, Y. B. Jiao, X. He, and B. Y. Wang. 2017. “Condition evaluation for existing reinforced concrete bridge superstructure using fuzzy clustering improved by particle swarm optimisation.” Struct. Infrastruct. Eng. 13 (7): 955–965. https://doi.org/10.1080/15732479.2016.1227854.
Liu, W. R. 2006. “Analyzing the degree of conflict among belief functions.” Artif. Intell. 170 (11): 909–924. https://doi.org/10.1016/j.artint.2006.05.002.
MOHURD (Ministry of Housing and Urban-Rural Development). 1999. Unified standard for reliability design of highway engineering structures. [In Chinese.] GB/T 50283-1999. Beijing: MOHURD.
MOHURD (Ministry of Housing and Urban-Rural Development). 2008. Unified standard for reliability design of engineering structures. [In Chinese.] GB 50153. Beijing: MOHURD.
Mosadeghi, R., J. Warnken, R. Tomlinson, and H. Mirfenderesk. 2015. “Comparison of Fuzzy-AHP and AHP in a spatial multi-criteria decision making model for urban land-use planning.” Comput. Environ. Urban Syst. 49: 54–65. https://doi.org/10.1016/j.compenvurbsys.2014.10.001.
MOT (Ministry of Transport of the People's Republic of China). 2004. Code for design of highway reinforced concrete and prestressed concrete bridge and culvert. [In Chinese.] JTG D62-2004. Beijing: MOT.
MOT (Ministry of Transport of the People's Republic of China). 2011. Standards for technical condition evaluation of highway bridges. [In Chinese.] JTG TH21-2011. Beijing: MOT.
Mullard, J. A., and M. G. Stewart. 2009. “Stochastic assessment of the timing and efficiency of maintenance for corroding RC structures.” J. Struct. Eng. 135 (8): 887–895. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:8(887.
Peng, J. X., S. W. Hu, J. R. Zhang, C. S. Cai, and L. Y. Li. 2019. “Influence of cracks on chloride diffusivity in concrete: A five-phase mesoscale model approach.” Constr. Build. Mater. 197: 587–596. https://doi.org/10.1016/j.conbuildmat.2018.11.208.
Peng, J. X., H. Tang, J. R. Zhang, and S. C. S. Cai. 2018. “Numerical simulation on carbonation depth of concrete structures considering time- and temperature-dependent carbonation process.” Adv. Mater. Sci. Eng. 2018: 1–16. https://doi.org/10.1155/2018/2326017.
Sasmal, S., and K. Ramanjaneyulu. 2008. “Condition evaluation of existing reinforced concrete bridges using fuzzy based analytic hierarchy approach.” Expert Syst. Appl. 35 (3): 1430–1443. https://doi.org/10.1016/j.eswa.2007.08.017.
Shafer, G. 1976. A mathematical theory of evidence. Princeton: Princeton University Press.
Shaw, K., R. Shankar, S. S. Yadav, and L. S. Thakur. 2012. “Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain.” Expert Syst. Appl. 39 (9): 8182–8192. https://doi.org/10.1016/j.eswa.2012.01.149.
Smets, P. 1990. “The combination of evidence in the transferable belief model.” IEEE Trans. Pattern Anal. Mach. Intell. 12 (5): 447–458. https://doi.org/10.1109/34.55104.
Stewart, M. G., and D. V. Rosowsky. 1998. “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Saf. 20 (1): 91–109. https://doi.org/10.1016/S0167-4730(97)00021-0.
Stewart, M. G., and Q. H. Suo. 2009. “Extent of spatially variable corrosion damage as an indicator of strength and time-dependent reliability of RC beams.” Eng. Struct. 31 (1): 198–207. https://doi.org/10.1016/j.engstruct.2008.08.011.
Stochino, F., M. L. Fadda, and F. Mistretta. 2018. “Low cost condition assessment method for existing RC bridges.” Eng. Fail. Anal. 86: 56–71. https://doi.org/10.1016/j.engfailanal.2017.12.021.
Su, X. Y., S. Mahadevan, W. H. Han, and Y. Deng. 2016. “Combining dependent bodies of evidence.” Appl. Intell. 44 (3): 634–644. https://doi.org/10.1007/s10489-015-0723-5.
Voorbraak, F. 1991. “On the justification of Dempster's rule of combination.” Artif. Intell. 48 (2): 171–197. https://doi.org/10.1016/0004-3702(91)90060-W.
Wang, L., L. Z. Dai, H. B. Bian, Y. F. Ma, and J. R. Zhang. 2019. “Concrete cracking prediction under combined prestress and strand corrosion.” Struct. Infrastruct. Eng. 15 (3): 285–295. https://doi.org/10.1080/15732479.2018.1550519.
Wang, X. Y., Q. Wu, and K. Y. Xie. 2017. “Fuzzy comprehensive evaluation method for bridge durability under freeze-thaw and chloride environments based on reliability.” [In Chinese.] Eng. Constr. 31 (1): 7–11. https://doi.org/10.3969/j.issn.1673-5781.2017.01.001.
Wang, Y. M., and T. M. S. Elhag. 2008. “Evidential reasoning approach for bridge condition assessment.” Expert Syst. Appl. 34 (1): 689–699. https://doi.org/10.1016/j.eswa.2006.10.006.
Wang, Y. M., J. B. Yang, D. L. Xu, and K. S. Chin. 2006. “The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees.” Eur. J. Oper. Res. 175 (1): 35–66. https://doi.org/10.1016/j.ejor.2005.03.034.
Xia, H. W., Y. Q. Ni, K. Y. Wong, and J. M. Ko. 2012. “Reliability-based condition assessment of in-service bridges using mixture distribution models.” Comput. Struct. 106–107: 204–213. https://doi.org/10.1016/j.compstruc.2012.05.003.
Xiang, Y. Q., G. B. Tang, and C. X. Liu. 2010. “Cracking mechanism and simplified design method for bottom flange in prestressed concrete box girder bridge.” J. Bridge Eng. 16 (2): 267–274. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000151.
Yang, Y. M., J. X. Peng, J. R. Zhang, and C. S. Cai. 2018. “A new method for estimating the scale of fluctuation in reliability assessment of reinforced concrete structures considering spatial variability.” Adv. Struct. Eng. 21 (13): 1951–1962. https://doi.org/10.1177/1369433218760891.
Yuan, A. M., S. L. Qian, Y. He, and X. W. Zhu. 2005. “Capacity evaluation of a prestressed concrete adjacent box girder with longitudinal cracks in the web.” J. Perform. Constr. Facil. 29 (1): 04014028. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000480.
Yuan, X. P. 2009. “Reliability evaluation of highway prestressed concrete bridge.” [In Chinese.] Ph.D. thesis, School of Civil Engineering, Southwest Jiaotong Univ.
Zhang, M. J., Y. M. Wang, L. H. Li, and S. Q. Chen. 2017. “A general evidential reasoning algorithm for multi-attribute decision analysis under interval uncertainty.” Eur. J. Oper. Res. 257 (3): 1005–1015. https://doi.org/10.1016/j.ejor.2016.08.028.
Zhou, Y. L., E. Figueiredo, N. Maia, R. Sampaio, and R. Perera. 2015. “Damage detection in structures using a transmissibility-based Mahalanobis distance.” Struct. Control Health Monit. 22 (10): 1209–1222. https://doi.org/10.1002/stc.1743.
Zimmermann, T., A. Strauss, D. Lehký, D. Novák, and Z. Keršner. 2014. “Stochastic fracture-mechanical characteristics of concrete based on experiments and inverse analysis.” Constr. Build. Mater. 73: 535–543. https://doi.org/10.1016/j.conbuildmat.2014.09.087.
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Published In
Journal of Bridge Engineering
Volume 24 • Issue 12 • December 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Aug 27, 2018
Accepted: Jun 18, 2019
Published online: Sep 18, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 18, 2020
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