An inconsistency control system based on incomplete pairwise comparison matrices

Bozóki, Sándor (2011) An inconsistency control system based on incomplete pairwise comparison matrices. In: International Symposium on the Analytic Hierarchy Process 2011, 2011. June 15-18., Sorrento, Italy.

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Incomplete pairwise comparison matrix was introduced by Harker in 1987 for the case in which the decision maker does not fill in the whole matrix completely due to, e.g., time limitations. However, incomplete matrices occur in a natural way even if the decision maker provides a completely filled in matrix in the end. In each step of the total n(n–1)/2, an incomplete pairwise comparison is given, except for the last one where the matrix turns into complete. Recent results on incomplete matrices make it possible to estimate inconsistency indices CR and CM by the computation of tight lower bounds in each step of the filling in process. Additional information on ordinal inconsistency is also provided. Results can be applied in any decision support system based on pairwise comparison matrices. The decision maker gets an immediate feedback in case of mistypes, possibly causing a high level of inconsistency.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Inconsistency, incomplete pairwise comparison matrix, multi-attribute decision models
Divisions:Faculty of Economics > Department of Operations Research and Actuarial Sciences
Subjects:Decision making
ID Code:420
Deposited By: Ádám Hoffmann
Deposited On:30 Aug 2011 09:07
Last Modified:03 Jul 2012 00:24

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