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Super Pairwise Comparison Matrix in the Dominant AHP

  • Takao Ohya
  • Eizo Kinoshita
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 57)

Abstract

We have proposed an SPCM (Super Pairwise Comparison Matrix) to express all pairwise comparisons in the evaluation process of D-AHP (the dominant analytic hierarchy process) or the multiple dominant AHP as a single pairwise comparison matrix. This paper shows that the evaluation value resulting from the application of LLSM (the logarithmic least-squares method) to an SPCM matches the evaluation value determined by the application of D-AHP to the evaluation values obtained from each pairwise comparison matrix by using the geometric mean.

Keywords

Super pairwise comparison matrix The dominant AHP Logarithmic least-squares method 

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© Springer International Publishing Switzerland 2016

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Authors and Affiliations

  1. 1.School of Science and EngineeringKokushikan UniversityTokyoJapan
  2. 2.Faculty of Urban ScienceMeijo UniversityGifuJapan

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