Super Pairwise Comparison Matrix in the Multiple Dominant AHP

  • Takao Ohya
  • Eizo Kinoshita
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 15)


We have proposed a super pairwise comparison matrix (SPCM) to express all pairwise comparisons in the evaluation process of the dominant analytic hierarchy process (AHP) or the multiple dominant AHP (MDAHP) as a single pairwise comparison matrix. This paper shows, by means of a numerical counterexample, that in MDAHP an evaluation value resulting from the application of the logarithmic least-squares method (LLSM) to a SPCM does not necessarily coincide with that of the evaluation value resulting from the application of the geometric mean multiple dominant AHP (GMMDAHP) to the evaluation value obtained from each pairwise comparison matrix by using the geometric mean method.


super pairwise comparison matrix dominant AHP the multiple dominant AHP logarithmic least square method the geometric mean multiple dominant AHP 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Takao Ohya
    • 1
  • Eizo Kinoshita
    • 2
  1. 1.School of Science and EngineeringKokushikan UniversityTokyoJapan
  2. 2.Faculty of Urban ScienceMeijo UniversityGifuJapan

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