An investigation into rank reversal properties of the multiplicative AHP. (1st January 2011)

• Record Type: Journal Article
• Authors: Ramanathan, Usha; Ramanathan, Ramakrishnan
• Is Part Of: International journal of operational research. Volume 11:Number 1(2011)
• Page Start: 54
• Page End: 77
• Publication Date: 2011-01-01
• Subjects: analytic hierarchy process -- multiplicative version -- rank reversal -- simulation -- decision analysis; Operations research -- Periodicals; 003.05
• DOI: 10.1504/IJOR.2011.040328
• Languages: English
• ISSNs: 1745-7645

Abstract

The multiplicative analytic hierarchy process (MAHP) has been proposed in response to some perceived shortcomings of the traditional version of the analytic hierarchy process (AHP). This paper joins a series of articles that investigated the rank reversal issue in the context of MAHP. In general, many of the previous articles did not highlight their interpretation of MAHP properly. In this paper, we consider MAHP as suggested by one of the proponents of the methodology and highlight three important operations that distinguish MAHP from its traditional counterpart. We further discuss three sets of simulation experiments to study the rank reversal properties of MAHP. Results indicate that MAHP possesses desirable rank reversal properties.