Adjusting ordinal and cardinal inconsistencies in decision preferences based on Gower plots

Adjusting ordinal and cardinal inconsistencies in decision preferences based on Gower plots

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Article ID: iaor20071998
Country: Singapore
Volume: 23
Issue: 3
Start Page Number: 329
End Page Number: 346
Publication Date: Sep 2006
Journal: Asia-Pacific Journal of Operational Research
Authors: ,
Keywords: graphical methods
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.

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