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Journal of Optimization Theory and Applications

, Volume 130, Issue 2, pp 317–339 | Cite as

Multicriteria Group Decision Making: Optimal Priority Synthesis from Pairwise Comparisons

  • L. Sun
  • B. S. Greenberg
Article

Abstract

We propose an optimization based hybrid approach for multicriteria group decision making that takes advantage of aggregating individual judgments and aggregating individual priority methods. Different error structures and criteria with particular emphasis on weighted least square measure and weighted least logarithmic square measure for additive and multiplicative error structures are studied. We evaluate also the statistical properties of the derived group preference and new measures to assess consistency. The proposed methods provide an iterative and flexible framework for guiding group decision making.

Keywords

Multicriteria group decision making analytic hierarchy process weighted least squares nonlinear optimization simultaneous linear equations 

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • L. Sun
    • 1
  • B. S. Greenberg
    • 2
  1. 1.Department of Civil EngineeringCatholic University of AmericaWashingtonUSA
  2. 2.Department of Information, Risk andOperations ManagementUniversity of TexaAustinUSA

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