Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models

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Bibliographic Details
Title: Detecting and adjusting ordinal and cardinal inconsistencies through a graphical and optimal approach in AHP models
Authors: Li, Han-Lin1 hlli@cc.nctu.edu.tw, Ma, Li-Ching1,2 lcma@nuu.edu.tw
Source: Computers & Operations Research. Mar2007, Vol. 34 Issue 3, p780-798. 19p.
Subjects: Operations research, Matrices (Mathematics), Decision making, Industrial engineering
Abstract: Abstract: An AHP model suffering from significant cardinal or/and ordinal inconsistencies in its preference matrix is difficult to rank rationally the alternatives. This study proposes an iterative method to assist a decision maker to detect/adjust inconsistencies and to represent his/her judgments properly. A Gower plot is first used to detect ordinal and cardinal inconsistencies. Two optimization models are then constructed to provide suggeted adjustments upon the request of the decision maker. By examining the Gower plots and numerical suggestions, the decision maker may revise iteratively the preference ratios to improve inconsistencies until all alternatives are ranked. [Copyright &y& Elsevier]
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Database: Engineering Source
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Abstract:Abstract: An AHP model suffering from significant cardinal or/and ordinal inconsistencies in its preference matrix is difficult to rank rationally the alternatives. This study proposes an iterative method to assist a decision maker to detect/adjust inconsistencies and to represent his/her judgments properly. A Gower plot is first used to detect ordinal and cardinal inconsistencies. Two optimization models are then constructed to provide suggeted adjustments upon the request of the decision maker. By examining the Gower plots and numerical suggestions, the decision maker may revise iteratively the preference ratios to improve inconsistencies until all alternatives are ranked. [Copyright &y& Elsevier]
ISSN:03050548
DOI:10.1016/j.cor.2005.05.010