Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 49, Issue 5-6, Pages 1221-1229Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2008.06.019
Keywords
Analytic hierarchy process; Rank reversal; Decision analysis; Data envelopment analysis; Cross-efficiency evaluation
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Funding
- National Natural Science Foundation of China (NSFC) [70771027]
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Analytic hierarchy process (AHP) has been criticized for its possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper shows the fact that the rank reversal phenomenon occurs not only in the AHP but also in many other decision making approaches such as the Borda-Kendall (BK) method for aggregating ordinal preferences, the simple additive weighting (SAW) method, the technique for order preference by similarity to ideal solution (TOPSIS) method, and the cross-efficiency evaluation method in data envelopment analysis (DEA). Numerical examples are provided to illustrate the rank reversal phenomenon in these popular decision making approaches. (C) 2008 Elsevier Ltd. All rights reserved.
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