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

Xinyi Zhou, Yong Hu, Yong Deng (), Felix T. S. Chan and Alessio Ishizaka
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Xinyi Zhou: University of Electronic Science and Technology of China
Yong Hu: Jinan University
Yong Deng: University of Electronic Science and Technology of China
Felix T. S. Chan: The Hong Kong Polytechnic University
Alessio Ishizaka: University of Portsmouth

Annals of Operations Research, 2018, vol. 271, issue 2, 1045-1066

Abstract: 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.

Keywords: AHP; Pairwise comparison matrix; Completion method; Missing values; DEMATEL (search for similar items in EconPapers)
Date: 2018
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