Fuzzy Analytic Hierarchy Process Evaluation Method in Assessing Corrosion Damage of Reinforced Concrete Bridges

Zhicheng Gao, Jiliang Li


Effective method used to deal with the corrosion damage condition of any concrete bridge superstructure will help decision makers of bridge management agencies to better choose repair material, and optimize repair method. Simplified corrosion index (SCI) is a very useful and simple index to characterize the actual corrosion damage condition of a reinforced concrete bridge superstructure. In this paper, SCI is calculated by combining the Corrosion Damage Index (CDI), Environment Change Factor (ECF) and Material Vulnerability Factor (MVF). The Analytic Hierarchy Process (AHP) method is applied to decide the weight factors of CDI, ECF and MVF. The Fuzzy-AHP evaluation method is used in this study to deal with the fuzzy problem of differentiating the different levels of corrosion indicators and to determine the appropriate weight factors. The asymmetric nearness degree method is applied to re-analyze the evaluation vector from Fuzzy-AHP method to calculate the corrosion damage level based on all corrosion indicators. A numerical example was presented to demonstrate the procedure and the benefits of the AHP method, and the proposed Fuzzy-AHP approach, along with the asymmetric nearness degree method, in dealing with the fuzzy nature of SCI calculation problem.


Fuzzy-AHP; Corrosion Damage; Index; Weigth Factors; Concrete; Bridge.


Gao Z.C., Liang Y. R., Anil K. P., Effects of sustained loading and pre-existing cracks on corrosion behavior of reinforced concrete slabs, Construction and Building Materials, 2016, 124: 776-785. doi: 10.1016/j.conbuildmat.2016.08.010.

Gao Z.C., Liang Y. R., Anil K. P., Probabilistic lifetime performance and structural capacity analysis of continuous reinforced concrete slab bridges, International Journal of Advanced Structural Engineering, 2017, 9: 231-245. doi:10.1007/s40091-017-0160-2.

Gao Z.C., Corrosion damage of reinforcement embedded in reinforced concrete slab. The University of Akron, 2016.

Callister W. D. and Rethwisch D. G. Material Science and Engineering, an Introduction, 9th Edition, WIliey 2014. ISBN-13: 978-1118324578.

CONTECVET IN30902I, A validated users’ manual for assessing the residual service life of concrete structures: manual for assessing corrosion-affected concrete structures. EC innovation program. Report number IN309021, 2000. URN: urn:nbn:se:ri:diva-3092.

Fazal I, Decision support system for bridge maintenance. Western Michigan University, 2005.

Yehia S, Abudayyeh O, Fazal I, Randolph D, A decision support system for concrete bridge deck maintenance. Advances in Engineering Softerwave, 2008, 39, 202-210. doi: 10.1016/j.advengsoft.2007.02.002.

American Association of State Highway and Transportation Officials. (AASHTO). AASHTO LRED bridge design specifications,8th Edition. Washington, D.C. ISBN: 978-1-56051-654-5.

American Concrete Institute (ACI) 224R-01, Building Code Requirements for Structural Concrete and Commentary, ACI committee, 2008. ISBN: 978-0-87031-056-0.

American Concrete Institute (ACI) 201.2rR, Guide to Durable Concrete, ACI committee, 2008. ISBN: 9780870312847.

Zadeh LA, Fuzzy sets. Inform Control, 1965, 8(3), 338-53. doi: 10.1016/S0019-9958(65)90241-X.

Zadeh LA, Fuzzy Algorithms. Inform Control, 1968, 12, 94-102. doi: 10.1016/S0019-9958(68)90211-8.

Zadeh LA, Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets System, 1978, 1(1), 3-28. doi: 10.1016/S0165-0114(99)80004-9.

Prakash C., Barua M.K.. Flexible modelling approach for evaluating reverse logistics adoption barriers using fuzzy AHP and IRP framework. International Journal of Operational Research. 2017, 30. doi: 10.1504/ijor.2017.086523.

Deng Y., Fuzzy analytical hierarchy process based on canonical representation on fuzzy numbers. J. Computational Analysis and Applications. 2017, 22-2, 201-228.

X. Zhang, Y. Deng, F. T. Chan, S. Mahadevan, A fuzzy extended analytic network process-based approach for global supplier selection. 2015, Applied Intelligence 43, 760-772. doi: 10.1007/s10489-015-0664-z.

W. Jiang, Y. Luo, X. Qin, J. Zhan, An improved method to rank generalized fuzzy numbers with different left heights and right heights, Journal of Intelligent & Fuzzy Systems 28, 2015, 2343–2355. doi: 10.3233/ifs-151639.

A. Mardani, A. Jusoh, E. K. Zavadskas, Fuzzy multiple criteria decisionmaking techniques and applications - two decades review from 1994 to 2014, Expert Systems with Applications 42, 2015 4126–4148. doi: 10.1016/j.eswa.2015.01.003.

Saaty T.L., A Scaling Method for Priorities in Hierarchical Structures, Journal of Mathematical Psychology, 1977, 15, 57-68. doi: 10.1016/0022-2496(77)90033-5.

Saaty T.L., Fundamentals of Decision Making and Priority Theory with the AHP. RWS Publications, Pittsburgh, PA, U.S.A, 1994. ISBN-13: 978-0962031762.

Saaty T.L., The Analytic Hierarchy Process. McGraw-Hill International, New York, NY, U.S.A, 1980.

Saaty T.L., Decision making with the analytic hierarchy process, Int. J. Services Sciences, 2008, 1(1), 83-98. doi: 10.1504/ijssci.2008.017590.

Andrade C., Martinez. I., Use of indices to assess the performance of existing and repaired concrete structures. Construction and Building Materials. 2009, 23, 3012-3019. doi: 10.1016/j.conbuildmat.2009.04.009.

Deng X., Hu Y., Deng Y., Mahadevan S., Supplier selection using AHP methodology extended by D numbers, Expert Systems with Applications 41, 2014, 156–167. doi: 10.1016/j.eswa.2013.07.018.

Wang P., Fuzzy set theory and its application [M]. Shanghai, Shanghai science and Technology Press, 1983, 57-59.doi: 10.1007/978-1-4684-3848-2.

EN 206, Concrete—Part 1: specification, performance, production and conformity, 2000. ICS:91.100.30.

Rashidi M., Lemass, B., A Decision Support Methodology for Remediation Planning of Concrete Bridges, KICEM Journal of Construction Engineering and Project Management, 2011, 1(2), 1-10. doi: 10.6106/jcepm.2011.1.2.001.

Manual of Bridge Inspection, OHIO Department of Transportation, 2010.

Zhao J., Bose B.K., Evaluation of Membership Functions for Fuzzy Logic Controlled Induction Motor Drive, IEEE, 2002. doi: 10.1109/iecon.2002.1187512 .

American Concrete Institute (ACI), Protection of Metals in Concrete Against Corrosion, ACI committee 222, ACI 222R-01, 2008. ISBN: 9780870310607.

Sohanghpurwala A.A., NCHRP Report 558: Manual on Service Life of Corrosion-Damaged Reinforced Concrete Bridge Superstructure Elements, Transportation Research Board, National Research Council, Washington, D.C., 2006. doi: 10.17226/13934.

Gucunski N., Imani A. Francisco Romero Soheil Nazarian Deren Yuan Herbert Wiggenhauser, Parisa Shokouhi, Alexander and Taffe Doria Kutrubes., Nondestructive Testing to Identify Concrete Bridge Deck Deterioration , Strategic Highway Research Program report SHRP 2 Renewal project R06A, Transportation Research Board: Washington, DC, 2011.doi: 10.17226/22771.

Full Text: PDF

DOI: 10.28991/cej-0309138


  • There are currently no refbacks.

Copyright (c) 2018 Zhicheng Gao, Jiliang Li

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.