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

Author

Listed:
  • Xinyi Zhou

    (University of Electronic Science and Technology of China
    Syracuse University)

  • Yong Hu

    (Jinan University)

  • Yong Deng

    (University of Electronic Science and Technology of China
    Jinan University
    Southwest University)

  • Felix T. S. Chan

    (The Hong Kong Polytechnic University)

  • Alessio Ishizaka

    (University of Portsmouth)

Abstract

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.

Suggested Citation

  • Xinyi Zhou & Yong Hu & Yong Deng & Felix T. S. Chan & Alessio Ishizaka, 2018. "A DEMATEL-based completion method for incomplete pairwise comparison matrix in AHP," Annals of Operations Research, Springer, vol. 271(2), pages 1045-1066, December.
    • Handle: RePEc:spr:annopr:v:271:y:2018:i:2:d:10.1007_s10479-018-2769-3
    DOI: 10.1007/s10479-018-2769-3
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