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An investigation into rank reversal properties of the multiplicative AHP

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  • Usha Ramanathan
  • Ramakrishnan Ramanathan

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.

Suggested Citation

  • Usha Ramanathan & Ramakrishnan Ramanathan, 2011. "An investigation into rank reversal properties of the multiplicative AHP," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 11(1), pages 54-77.
    • Handle: RePEc:ids:ijores:v:11:y:2011:i:1:p:54-77
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    Cited by:

    1. Majumdar, Abhijit & Tiwari, Manoj Kumar & Agarwal, Aastha & Prajapat, Kanika, 2021. "A new case of rank reversal in analytic hierarchy process due to aggregation of cost and benefit criteria," Operations Research Perspectives, Elsevier, vol. 8(C).
    2. Liu, Xianliang & Ma, Yonghao, 2021. "A method to analyze the rank reversal problem in the ELECTRE II method," Omega, Elsevier, vol. 102(C).

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