Fuzzy methods for prediction of seismic resilience of bridges

Abstract Communities are exposed to natural catastrophes, such as tsunamis, earthquakes, hurricanes, etc. Therefore, building and making resilient communities could lead to the reduction of the disastrous negative impacts and enable fast recovery. In this paper, novel seismic recovery functions and a metric for seismic resilience assessment have been proposed employing the concepts from fuzzy sets theory. The basic resilience parameters have been defined by fuzzy knowledge representation theory, the recovery process of bridges has been modeled in terms of fuzzy functions and the concepts from fuzzy measure theory have been used to determine resilience metrics. In addition, the presented model is integrated into a decision-making process for disaster preparedness of communities. Moreover, the model has been simulated in Java. A bridge in Santa Barbara has been investigated for this case study. The proposed method has revealed that fuzzy set theory has been a more efficient tool for estimating the relationship between bridge damage and functionality since the collected data has been established based on expert’s judgments. The conclusion has been drawn that improving the disaster preparedness of communities would enhance the resilience of the bridge. The proposed model could be adapted for seismic resilience assessment of other infrastructure components such as tunnels, highway segments and in the case of bridges under multiple hazards.

[1]  Michel Bruneau,et al.  Framework for analytical quantification of disaster resilience , 2010 .

[2]  E. Gencer,et al.  Natural Disasters, Urban Vulnerability, and Risk Management: A Theoretical Overview , 2013 .

[3]  Yao-Chen Kuo,et al.  Using fuzzy multiple criteria decision making approach to enhance risk assessment for metropolitan construction projects , 2013 .

[4]  Leonardo Dueñas-Osorio,et al.  Interdependent Response of Networked Systems to Natural Hazards and Intentional Disruptions , 2005 .

[5]  Alex H. Barbat,et al.  Social Aggravation Estimation to Seismic Hazard Using Classical Fuzzy Methods , 2014, SIMULTECH.

[6]  Paolo Bocchini,et al.  Computation of bridge seismic fragility by large‐scale simulation for probabilistic resilience analysis , 2015 .

[7]  Louis Anthony Cox,et al.  Community resilience and decision theory challenges for catastrophic events. , 2012, Risk analysis : an official publication of the Society for Risk Analysis.

[8]  Tim Boudreau,et al.  NetBeans: The Definitive Guide , 2002 .

[9]  Ian T. Cameron,et al.  Uncertainty representation and propagation in quantified risk assessment using fuzzy sets , 1994 .

[10]  A. Rose DEFINING AND MEASURING ECONOMIC RESILIENCE TO DISASTERS , 2004 .

[11]  Solomon Tesfamariam,et al.  Risk-Based Seismic Evaluation of Reinforced Concrete Buildings , 2008 .

[12]  David R. Godschalk,et al.  Urban Hazard Mitigation: Creating Resilient Cities , 2003 .

[13]  Mark G. Stewart,et al.  Risk assessment for civil engineering facilities: critical overview and discussion , 2003, Reliab. Eng. Syst. Saf..

[14]  Dan M. Frangopol,et al.  Sustainability of Highway Bridge Networks Under Seismic Hazard , 2014 .

[15]  Dan M. Frangopol,et al.  Optimal Resilience- and Cost-Based Postdisaster Intervention Prioritization for Bridges along a Highway Segment , 2012 .

[16]  Guanrong Chen,et al.  Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems , 2000 .

[17]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[18]  Michel Bruneau,et al.  The State of Art of Community Resilience of Physical Infrastructures , 2011 .

[19]  Dan M. Frangopol,et al.  Optimizing Bridge Network Maintenance Management under Uncertainty with Conflicting Criteria: Life-Cycle Maintenance, Failure, and User Costs , 2006 .

[20]  Dan M. Frangopol,et al.  Risk and resilience assessment of bridges under mainshock and aftershocks incorporating uncertainties , 2015 .

[21]  R. Mcguire Seismic Hazard and Risk Analysis , 2004 .

[22]  Bilal M Ayyub,et al.  Systems Resilience for Multihazard Environments: Definition, Metrics, and Valuation for Decision Making , 2014, Risk analysis : an official publication of the Society for Risk Analysis.

[23]  Jens-Uwe Klügel,et al.  Seismic Hazard Analysis — Quo vadis? , 2008 .

[24]  Vojislav Kecman,et al.  Learning and Soft Computing: Support Vector Machines, Neural Networks, and Fuzzy Logic Models , 2001 .

[25]  A. Fatehi,et al.  Development of probabilistic seismic hazard analysis for international sites, challenges and guidelines , 2010 .

[26]  Min Ouyang,et al.  Resilience assessment of interdependent infrastructure systems: With a focus on joint restoration modeling and analysis , 2015, Reliab. Eng. Syst. Saf..

[27]  Nesrin Basoz,et al.  Evaluation of Bridge Damage Data from Recent Earthquakes , 1998 .

[28]  Min Ouyang,et al.  Vulnerability analysis of complementary transportation systems with applications to railway and airline systems in China , 2015, Reliab. Eng. Syst. Saf..

[29]  Jelena M. Andrić,et al.  Risk Assessment of Bridges under Multiple Hazards in Operation Period , 2016 .

[30]  Reginald DesRoches,et al.  Analytical Seismic Fragility Curves for Typical Bridges in the Central and Southeastern United States , 2007 .

[31]  M. L. Carreño,et al.  New methodology for urban seismic risk assessment from a holistic perspective , 2011, Bulletin of Earthquake Engineering.

[32]  Guanrong Chen,et al.  Introduction to Fuzzy Systems , 2005 .

[33]  Barnabás Bede Fuzzy Set-Theoretic Operations , 2013 .

[34]  Lijing Zhao,et al.  Do topological models contribute to decision making on post-disaster electric power system restoration? , 2014, Chaos.

[35]  Enrico Zio,et al.  Vulnerable Systems , 2011 .

[36]  F. Colangelo Probabilistic characterisation of an analytical fuzzy-random model for seismic fragility computation , 2013 .

[37]  Amy Javernick-Will,et al.  Measuring Community Resilience and Recovery: A Content Analysis of Indicators , 2012 .

[38]  Eyke Hüllermeier,et al.  Risk assessment system of natural hazards: A new approach based on fuzzy probability , 2007, Fuzzy Sets Syst..

[39]  J. Buckley,et al.  An Introduction to Fuzzy Logic and Fuzzy Sets , 2002 .

[40]  Michel Bruneau,et al.  A Framework to Quantitatively Assess and Enhance the Seismic Resilience of Communities , 2003 .

[41]  Youwei Zhou,et al.  Effect of seismic retrofit of bridges on transportation networks , 2003 .

[42]  Siba Sankar Mahapatra,et al.  Risk assessment in IT outsourcing using fuzzy decision-making approach: An Indian perspective , 2014, Expert Syst. Appl..

[43]  Dan M. Frangopol,et al.  Restoration of Bridge Networks after an Earthquake: Multicriteria Intervention Optimization , 2012 .

[44]  L B Bourque,et al.  Fatal and hospitalized injuries resulting from the 1994 Northridge earthquake. , 1998, International journal of epidemiology.

[45]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[46]  Bilal M. Ayyub,et al.  Practical Resilience Metrics for Planning, Design, and Decision Making , 2015 .

[47]  Sang-Hoon Kim,et al.  Socio-Economic Effect of Seismic Retrofit Implemented on Bridges in the Los Angeles Highway Network , 2008 .

[48]  J. Andrić SEISMIC RESILIENCE OF A BRIDGE BASED ON FUZZY-PROBABILISTIC APPROACH , 2015 .

[49]  Min Ouyang,et al.  A three-stage resilience analysis framework for urban infrastructure systems , 2012 .

[50]  Stephanie E. Chang,et al.  Probabilistic Earthquake Scenarios: Extending Risk Analysis Methodologies to Spatially Distributed Systems , 2000 .

[51]  M. L. Carreño,et al.  Computational Tool for Post-Earthquake Evaluation of Damage in Buildings , 2010 .

[52]  Dan M. Frangopol,et al.  A probabilistic approach for the prediction of seismic resilience of bridges , 2013 .

[53]  Ashraf Ayoub,et al.  Fuzzy logic-based attenuation relationships of strong motion earthquake records , 2012, Expert Syst. Appl..

[54]  L. Reiter Earthquake Hazard Analysis: Issues and Insights , 1991 .

[55]  Reginald DesRoches,et al.  Bridge Functionality Relationships for Improved Seismic Risk Assessment of Transportation Networks , 2007 .

[56]  M. L. Carreño,et al.  A disaster risk management performance index , 2007 .

[57]  Valerie J. Davidson,et al.  Fuzzy risk assessment tool for microbial hazards in food systems , 2006, Fuzzy Sets Syst..

[58]  Solomon Tesfamariam,et al.  Seismic Vulnerability Assessment of Reinforced Concrete Buildings Using Hierarchical Fuzzy Rule Base Modeling , 2010 .

[59]  Masanobu Shinozuka,et al.  Socio-economic effect of seismic retrofit of bridges for highway transportation networks: a pilot study , 2010 .

[60]  G. Spadoni,et al.  Risk analysis of hazardous materials transportation: evaluating uncertainty by means of fuzzy logic , 1998 .

[61]  D. Wenger,et al.  Sustainable Disaster Recovery: Operationalizing An Existing Agenda , 2007 .