Incomplete pairwise comparison matrices and weighting methods

Csató, László and Rónyai, Lajos (2015) Incomplete pairwise comparison matrices and weighting methods. Working Paper. Corvinus University of Budapest Faculty of Economics, Budapest.

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A special class of preferences, given by a directed acyclic graph, is considered. They are represented by incomplete pairwise comparison matrices as only partial information is available: for some pairs no comparison is given in the graph. A weighting method satisfies the property linear order preservation if it always results in a ranking such that an alternative directly preferred to another does not have a lower rank. We study whether two procedures, the Eigenvector Method and the Logarithmic Least Squares Method meet this axiom. Both weighting methods break linear order preservation, moreover, the ranking according to the Eigenvector Method depends on the incomplete pairwise comparison representation chosen.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2015/05
Uncontrolled Keywords:Directed acyclic graph, incomplete pairwise comparison matrix, Eigenvector Method, Logarithmic Least Squares Method
JEL classification:C44 - Operations Research; Statistical Decision Theory
Divisions:Faculty of Economics > Department of Operations Research and Actuarial Sciences
Subjects:Mathematics, Econometrics
Projects:OTKA K 111797, OTKA NK 105645, MTA-BCE "Lendület" Strategic Interactions Research Group
ID Code:1869
Deposited By: Ádám Hoffmann
Deposited On:24 Mar 2015 08:53
Last Modified:24 Mar 2015 08:53

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