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ADJUSTING ORDINAL AND CARDINAL INCONSISTENCIES IN DECISION PREFERENCES BASED ON GOWER PLOTS

Han-Lin Li () and Li-Ching Ma ()
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Han-Lin Li: National Chiao Tung University, Taiwan, ROC
Li-Ching Ma: National Chiao Tung University, Taiwan, ROC;

Asia-Pacific Journal of Operational Research (APJOR), 2006, vol. 23, issue 03, 329-346

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.

Keywords: Decision analysis; inconsistency; Gower plot; preference; AHP (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0217595906000966

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