Rank Reversal and Rank Preservation in TOPSIS

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Abstract:

TOPSIS has been in use for more than 20 years in many fields. However, few researches have studied its defect of rank reversal. This paper, by studying the fundamental cause for the rank reversal problem in TOPSIS, put forward an improvement on TOPSIS based on the decision maker’s subjective preferences, which can, proved by a numerical example, overcome the rank reversal problem and lead to more scientific decision result that is in more agreement with the decision makers’ subjective intensions.

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Advanced Materials Research (Volumes 204-210)

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36-41

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February 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Hwang, C. L and Yoon, K.: Multiple attribute decision making: Methods and Applications, (Springer-Verlag. Berlin, 1981).

Google Scholar

[2] Lai, Y. J, Liu, T. Y and Hwang, C. L.: TOPSIS for MODM. European Journal of Operational Research, Vol. 76 (1994), pp.486-500.

DOI: 10.1016/0377-2217(94)90282-8

Google Scholar

[3] Agrawal, V. P, Kohli, V and Gupta,S.: Computer aided robot selection: The multiple attribute decision making approach. International Journal of Production Research, Vol 29(1991), pp.1629-1644.

DOI: 10.1080/00207549108948036

Google Scholar

[4] Shanian A., Savadogo O.: TOPSIS multiple-criteria decision support analysis for material selection of metallic bipolar plates for polymer electrolyte fuel cell. Journal of Power Sources, Vol. 159(2006), pp.1095-1104.

DOI: 10.1016/j.jpowsour.2005.12.092

Google Scholar

[5] Wang Ying-Ming, Taha M.S. Elhag: Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert Systems with Applications, Vol. 31(2006), pp.309-319.

DOI: 10.1016/j.eswa.2005.09.040

Google Scholar

[6] Jahanshahloo G.R., Hosseinzadeh F.: Extension of the TOPSIS method for decision-making problems with fuzzy data. Applied Mathematics and Computation, Vol. 181(2006), pp.1544-1551.

DOI: 10.1016/j.amc.2006.02.057

Google Scholar

[7] Hsu-Shih Shih: Incremental analysis for MCDM with an application to group TOPSIS. European Journal of Operational Research, Vol. 186(2008), pp.720-734.

DOI: 10.1016/j.ejor.2007.02.012

Google Scholar

[8] HU Yong-hong: The Improved Method for TOPSIS in Comprehensive Evaluation. A Chinese Journal of Mathematics in Practice and Theory, Vol. 132(2002), pp.572-575.

Google Scholar

[9] YU Yan, LIANG Liang: Extensions of the TOPSIS for Multiple Criteria Decision Making, A Chinese Journal of Systems Engineering, Vol. 21(2003), pp.98-111.

Google Scholar