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Inferring consensus weights from pairwise comparison matrices without suitable properties
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Inferring consensus weights from pairwise comparison matrices without suitable properties
Jacinto González-Pachón1 and Carlos Romero2
| (1) |
Department of Artificial Intelligence, Computer Science School, Technical University of Madrid, Campus de Montegancedo s/n, 28660, Boadilla del Monte, Madrid, Spain |
| (2) |
Department of Forest Economics and Management, Forestry School, Technical University of Madrid, Ciudad Universitaria s/n, 28040 Madrid, Spain |
Published online: 18 May 2007
Abstract
Pairwise comparison is a popular method for establishing the relative importance of n objects. Its main purpose is to get a set of weights (priority vector) associated with the objects. When the information
gathered from the decision maker does not verify some rational properties, it is not easy to search the priority vector. Goal
programming is a flexible tool for addressing this type of problem. In this paper, we focus on a group decision-making scenario.
Thus, we analyze different methodologies for getting a collective priority vector. The first method is to aggregate general
pairwise comparison matrices (i.e., matrices without suitable properties) and then get the priority vector from the consensus
matrix. The second method proposes to get the collective priority vector by formulating an optimization problem without determining
the consensus pairwise comparison matrix beforehand.
Keywords Pairwise comparisons - Group decisions - Preference aggregation - Goal programming
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