A Decomposition Approach for Evaluating Relative Weights Derived from Comparisons

  • Evangelos Triantaphyllou
Part of the Applied Optimization book series (APOP, volume 44)


As it was described in the previous chapters, pairwise comparisons play an important role in MCDM problems. They often provide an effective and efficient manner for eliciting qualitative information from the decision maker(s). However, a severe drawback of their application is the often large number of them. If there are n objects (also called entities, elements, or concepts) to be analyzed, then a complete set of pairwise comparisons is of size n(n−1)/2. This chapter describes an approach for reducing this number without severely affecting the benefits of having redundancy in the data elicitation process.


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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Evangelos Triantaphyllou
    • 1
  1. 1.Department of Industrial and Manufacturing Systems Engineering, College of EngineeringLouisiana State UniversityBaton RougeUSA

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