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Analysis of Pairwise Comparison Matrices

  1. Jacinto González-PachóN1,
  2. Carlos Romero2

Published Online: 17 JAN 2014

DOI: 10.1002/9780470400531.eorms1089

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

González-PachóN, J. and Romero, C. 2014. Analysis of Pairwise Comparison Matrices. Wiley Encyclopedia of Operations Research and Management Science. 1–9.

Author Information

  1. 1

    Technical University of Madrid, Computer Science School, Department of Artificial Intelligence, Madrid, Spain

  2. 2

    Technical University of Madrid, Forestry School, Department of Forest Economics and Management, Madrid, Spain

Publication History

  1. Published Online: 17 JAN 2014

Abstract

Pairwise comparison method is a powerful and simple tool for modeling decision-making problems when n objects (alternatives, criteria, etc.) are involved. In this article, the method description begins with a brief comment about its historical roots. Special emphasis is placed on the possible levels of rationality of the decision maker and how this feature conditions the mathematical methods used to derive preferential weights from a pairwise comparison matrix. This issue is linked in a natural way to the problem of aggregating individual pairwise comparison matrices into a consensus matrix. The article concludes with a discussion of the main advantages of the method in real-world problems.

Keywords:

  • pairwise comparisons;
  • goal programming;
  • preference modeling;
  • group decision;
  • distance-based methods