A DEMATEL-based completion method for incomplete pairwise comparison matrix in AHP

Xinyi Zhou, Yong Hu, Yong Deng, Felix T.S. Chan, Alessio Ishizaka

Research output: Journal article publicationJournal articleAcademic researchpeer-review

91 Citations (Scopus)


Pairwise comparison matrix (PCM) as a crucial component of Analytic Hierarchy Process (AHP) presents the preference relations among alternatives. However, in many cases, the PCM is difficult to be completed, which obstructs the subsequent operations of the classical AHP. In this paper, based on decision-making and trial evaluation laboratory (DEMATEL) method which has ability to derive the total relation matrix from direct relation matrix, a new completion method for incomplete pairwise comparison matrix (iPCM) is proposed. The proposed method provides a new perspective to estimate the missing values in iPCMs with explicit physical meaning, which is straightforward and flexible. Several experiments are implemented as well to present the completion ability of the proposed method and some insights into the proposed method and matrix consistency.

Original languageEnglish
Pages (from-to)1045-1066
Number of pages22
JournalAnnals of Operations Research
Issue number2
Publication statusPublished - 1 Dec 2018


  • AHP
  • Completion method
  • Missing values
  • Pairwise comparison matrix

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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