A Method of Assigning Weights Using a Ranking and Nonhierarchy Comparison

Bangweon Song, Seokjoong Kang

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The analytic hierarchy process (AHP) has advantages that the whole number of comparisons can be reduced via a hierarchy structure and the consistency of responses verified via a consistency ratio. However, at the same time, the AHP has disadvantages that values vary according to the form of hierarchy structure and it is difficult to maintain consistency itself among responses. If the number of comparisons can be reduced, a comparison within a single level is optimal, and if comparison can be made while the priority among entities is maintained, consistency may be automatically maintained. Thus, in this study, we propose a method of assigning weights, which applies hierarchy structure of AHP and pairwise comparison but complements the disadvantages of AHP. This method has advantages that the number of comparisons can be reduced and also consistency is automatically maintained via determination of priorities first on multiple entities and subsequent comparisons between entities with adjoined priorities.

Original languageEnglish
Article number8963214
JournalAdvances in Decision Sciences
Volume2016
DOIs
Publication statusPublished - 2016

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Applied Mathematics
  • Computational Mathematics
  • Statistics and Probability

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