The rank reversal problem related to wash criterion in Analytic Hierarchy Process (AHP) was studied. The purpose of this paper is threefold. Firstly, the rank reversal problem did not come off when proportional adjustment of Liberatore and Nydick (2004) and Saaty and Vargas (2006) was applied. Secondly, the conditions that insure the occurrence of rank reversal by using the approach of Finan and Hurley (2002) and Lin, Chou, Chouhuang and Hsu (2008) were found. Thirdly, the study showed that the invariant phenomenon proposed by Jung, Wou, Li and Julian (2009) implied that the combined criterion is still a wash criterion. The findings will help researchers select the synthesizing method and keep the rank under some specific range when a wash criterion is deleted.
Key words: Analytic hierarchy process, rank reversal problem, wash criterion.
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