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On rank reversal in decision analysis

โœ Scribed by Ying-Ming Wang; Ying Luo

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
438 KB
Volume
49
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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.

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