Evaluation of Methods for Processing a Decision Matrix and Some Cases of Ranking Abnormalities

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


The MCDM methods presented in the second chapter are among the most widely used ones. As it will be seen in the following sections, however, the part of the methods that processes a decision matrix (i.e., step 3 in Section 2.2) may give different answers to the same problem. Because only the WPM, the AHP, the revised AHP, and the TOPSIS method are applicable both in single- and multi- dimensional decision making, these are the methods that are examined in this chapter (i.e., the WSM will not be tested). The ELECTRE method (as described in Chapter 2) was not tested because it is already known that this method presents a different ranking philosophy and it does not assume that a unique ranking always exists in practice. The main part of this chapter is based on the research results presented in [Triantaphyllou and Mann, 1989] plus some additional investigations.


Good Alternative Decision Matrix Optimum Alternative Priority Vector Evaluative Criterion 
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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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