References

NHESS

Natural Hazards and Earth System Sciences

NHESS

Nat. Hazards Earth Syst. Sci.

1684-9981

Copernicus Publications

Göttingen, Germany

10.5194/nhess-15-863-2015

Group decision-making approach for flood vulnerability identification using the fuzzy VIKOR method

Lee

¹ Jun

K. S.

² Chung

E.-S.

https://orcid.org/0000-0002-4329-1800

Department of Water Resources, Graduate School of Water Resources, Sungkyunkwan University, Suwon, South Korea

Department of Civil Engineering, Seoul National University of Science and Technology, Seoul, South Korea

20 04 2015

15 4 863 874

2015

This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit https://creativecommons.org/licenses/by/3.0/

This article is available from https://nhess.copernicus.org/articles/15/863/2015/nhess-15-863-2015.html

The full text article is available as a PDF file from https://nhess.copernicus.org/articles/15/863/2015/nhess-15-863-2015.pdf

This study proposes an improved group decision making (GDM) framework that combines the VIKOR method with data fuzzification to quantify the spatial flood vulnerability including multiple criteria. In general, GDM method is an effective tool for formulating a compromise solution that involves various decision makers since various stakeholders may have different perspectives on their flood risk/vulnerability management responses. The GDM approach is designed to achieve consensus building that reflects the viewpoints of each participant. The fuzzy VIKOR method was developed to solve multi-criteria decision making (MCDM) problems with conflicting and noncommensurable criteria. This comprising method can be used to obtain a nearly ideal solution according to all established criteria. This approach effectively can propose some compromising decisions by combining the GDM method and fuzzy VIKOR method. The spatial flood vulnerability of the southern Han River using the GDM approach combined with the fuzzy VIKOR method was compared with the spatial flood vulnerability using general MCDM methods, such as the fuzzy TOPSIS and classical GDM methods (i.e., Borda, Condorcet, and Copeland). As a result, the proposed fuzzy GDM approach can reduce the uncertainty in the data confidence and weight derivation techniques. Thus, the combination of the GDM approach with the fuzzy VIKOR method can provide robust prioritization because it actively reflects the opinions of various groups and considers uncertainty in the input data.

NRF-2013R1A1A2060942

References 1

Afshar, A., Mariño, M. A., Saadatpour, M., and Afsahr, A.: Fuzzy TOPSIS multi-criteria decision analysis applied to Karun reservoirs system, Water Resour. Manage., 25, 545–563, 2011.

Akter, T. and Simonovic S. P.: Aggregation of fuzzy views of a large number of stakeholders for multi-objective flood management decision-making, J. Environ. Manage., 77, 133–143, 2005.

Bojadziev, G. and Bojadziev, M.: Fuzzy logic for business, finance, and management, World Scientific Publishing Co Pte Ltd, Singapore, 69 pp., 1997.

Chang, T. H. and Wang, T. C.: Using the fuzzy multi-criteria decision making approach for measuring the possibility of successful knowledge management, Inform. Sciences, 179, 355–370, 2009.

Chen, C. T.: Extension of the TOPSIS for group decision-making under fuzzy environment, Fuzzy Set. Syst., 114, 1–9, 2000.

Chen, V. Y. C., Lien, H.-P., Liu, C.-H., Liou, J. J. H., Tzeng, G.-H., and Yang, L.-S.: Fuzzy MCDM approach for selecting the best environment-watershed plan, Appl. Soft Comput., 11, 265–275, 2011.

Chu, T. C.: Selecting plant location via a fuzzy TOPSIS approach, Int. J. Adv. Manuf. Tech., 20, 859–864, 2002.

Chu T. C. and Lin Y. C.: A fuzzy TOPSIS method for robot selection, Int. J. Adv. Manuf. Technol., 21, 284–290, 2003.

Chung, E. S. and Kim, Y.: Development of fuzzy multi-criteria approach to prioritize locations of treated wastewater use considering climate change scenarios, J. Env. Manage., 146, 505–516, 2014.

Copeland, A. H.: A reasonable social welfare function. Seminar on Applications of Mathematics to Social Sciences, University of Michigan, Ann. Arbor, November 1951, 1951.

Danube Flood Risk Project: Stakeholder oriented flood risk assessment for the Danube floodplains, Danube Flood Risk Project, available at: <a href="http://www.danube-floodrisk.eu/">http://www.danube-floodrisk.eu/</a>, last access: 2 April 2015.

Fu, G.: A fuzzy optimization method for multi-criteria decision making: An application to reservoir flood control operation, Expert Syst. Appl., 34, 145–149, 2008.

Jun, K. S. and Kim, J. S.: The Four Major Rivers Restoration Project: Impacts on river flows, KSCE J. Civil Eng., 15, 217–224, 2011.

Jun, K. S., Chung, E. S., Kim, Y. G., and Kim, Y.: A fuzzy multi-criteria decision approach to flood risk vulnerability in South Korea by considering climate change impacts, Expert Syst. Appl., 40, 1003–1013, 2013.

Kim, Y. and Chung, E. S.: Fuzzy VIKOR approach for assessing the vulnerability of the water supply to climate change and variability in South Korea, App. Math. Model, 37, 9419–9430, 2013a.

Kim, Y. and Chung, E. S.: Assessing climate change vulnerability with group multi-criteria decision making approaches: A case study with the water resources system in South Korea, Clim. Chan., 121, 301–315, 2013b.

Kim, Y. and Chung, E. S.: An index-based robust decision making framework for watershed management in a changing climate, Sci. Tot. Env., 473–474, 88–102, 2014.

Kim, Y. Chung, E. S., Jun, S. M., and Kim, S. U.: Prioritizing the best sites for treated wastewater use in an urban watershed using Fuzzy TOPSIS, Resour. Conserv. Recy., 73, 23–32, 2013.

Lee, G., Jun, K.-S., and Chung, E.-S.: Integrated multi-criteria flood vulnerability approach using fuzzy TOPSIS and Delphi technique, Nat. Hazards Earth Syst. Sci., 13, 1293–1312, <a href="http://dx.doi.org/10.5194/nhess-13-1293-2013">https://doi.org/10.5194/nhess-13-1293-2013</a>, 2013.

McLean, I.: The borda and condorcet principles: Three medieval applications, Soc. Choice and Welfare, 7, 99–108, 1990.

Morss, R. E., Wilhelmi, O. V., Dwonton, M. W., and Gruntfest, E.: Flood Risk, Uncertainty, and Scientific Information for Decision Making: Lessons from an Interdisciplinary Project, B. Am. Meteorol. Soc., 86, November 2005, 1593–1601, 2005.

Opricovic, S.: Multicriteria optimization of civil engineering systems (Visekriterijumska optimizacija sistema u gradjevinarstvu), Belgrade, Faculty of Civil Engineering, 302, 1998 (in Serbian).

Opricovic, S.: Fuzzy VIKOR with an application to water resources planning, Expert Syst. Appl., 38, 12983–12990, 2011.

Opricovic, S. and Tzeng, G. H.: Extended VIKOR method in comparison with outranking methods, Eur. J. Oper. Res., 178, 514–529, 2007.

Shih, H. S., Shyur, H. J., and Lee, E. S.: An extension of TOPSIS for group decision making, Math. Comput. Model., 45, 801–813, 2007.

Speller, G.: Improving community and citizen engagement in FRM decision making, delivery and flood response, R&D Technical Report SC040033/SR3, product code SCHO1005BJTC-E-P, Bristol: Environment Agency, 4–6, 2005.

Torlak, G., Sevkli, M., Sanal, M., and Zaim, S.: Analyzing business competition by using fuzzy TOPSIS method: An example of Turkish domestic airline industry, Expert Syst. Appl., 38, 3396–3406, 2011.

Tsaur, S., Chang T., and Yen C.: The evaluation of airline service quality by fuzzy MCDM, Tourism Management, 23, 107–115, 2002.

William, G. L.: Strategic voting and the borda method, Public Choice, 33, 85–90, 1978.

Zhou, H. C., Wang, G. L., and Yang, Q.: A multi-objective fuzzy pattern recognition model for assessing groundwater vulnerability based on the DRASTIC system, Hydrolog. Sci. J., 44, 611–618, 1999.