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Adjusting Ordinal And Cardinal Inconsistencies In Decision Preferences Based On Gower Plots

Author

Listed:
  • HAN-LIN LI

    (National Chiao Tung University, Taiwan, ROC)

  • LI-CHING MA

    (National Chiao Tung University, Taiwan, ROC;
    Department of Information Management, National United University, No. 1, Lien-Da, Kung-Ching Li, Miao-Li 36003, Taiwan, ROC)

Abstract

Gower plots provide a powerful graphical tool to detect cardinal and ordinal inconsistencies in a pairwise preference matrix. However, there is no systematical way to help a decision maker to reduce these inconsistencies. This paper develops a model that can assist in making a consistent decision. Gower plots are used to detect major inconsistencies. A multi-objective program is then formulated to adjust both the cardinal inconsistencies and the preference changes subjected to the constraints of ordinal consistency.

Suggested Citation

  • Han-Lin Li & Li-Ching Ma, 2006. "Adjusting Ordinal And Cardinal Inconsistencies In Decision Preferences Based On Gower Plots," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 329-346.
    • Handle: RePEc:wsi:apjorx:v:23:y:2006:i:03:n:s0217595906000966
    DOI: 10.1142/S0217595906000966
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    References listed on IDEAS

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    1. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
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