A Comparison of the REMBRANDT System with a New Approach in AHP

Abstract

Analytic hierarchy process (AHP) has been criticized considerably for possible rank reversal phenomenon caused by the addition or deletion of an alternative. While in many cases this is a perfectly valid phenomenon, there are also many cases where ranks should be preserved. Our findings indicate that using the geometric mean reduces the variance in ratings substantially; hence, yielding lower inconsistency in ratings. An approach is therefore proposed using the geometric mean aggregation to avoid rank reversal phenomenon. A practical example is examined using the proposed approach to demonstrate its validity and racticability in rank preservation. This paper also compares the REMBRANDT system with the proposed approach to avoid rank reversal phenomenon.

Keywords

• Analytic hierarchy process (AHP)
• REMBRANDT system
• Rank reversal
• Multiple attribute decision making (MADM)