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A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP

Research output: Contribution to journal › Article › peer-review

Standard

A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP. / Zhou, Xinyi; Hu, Yong; Deng, Yong; Chan, Felix T. S.; Ishizaka, Alessio.

In: Annals of Operations Research, 01.02.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhou, X, Hu, Y, Deng, Y, Chan, FTS & Ishizaka, A 2018, 'A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP', Annals of Operations Research. https://doi.org/10.1007/s10479-018-2769-3

APA

Zhou, X., Hu, Y., Deng, Y., Chan, F. T. S., & Ishizaka, A. (2018). A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP. Annals of Operations Research. https://doi.org/10.1007/s10479-018-2769-3

Vancouver

Zhou X, Hu Y, Deng Y, Chan FTS, Ishizaka A. A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP. Annals of Operations Research. 2018 Feb 1. https://doi.org/10.1007/s10479-018-2769-3

Author

Zhou, Xinyi ; Hu, Yong ; Deng, Yong ; Chan, Felix T. S. ; Ishizaka, Alessio. / A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP. In: Annals of Operations Research. 2018.

Bibtex

@article{422af79eb03941b4ab613d36974412cb,
title = "A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP",
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",
author = "Xinyi Zhou and Yong Hu and Yong Deng and Chan, {Felix T. S.} and Alessio Ishizaka",
note = "embargo 12 mths This is an Accepted Manuscript of an article published in Annals of Operations Research. The final publication is available at Springer via http://dx.doi.org/10.1007/s10479-018-2769-3",
year = "2018",
month = feb,
day = "1",
doi = "10.1007/s10479-018-2769-3",
language = "English",
journal = "Annals of Operations Research",
issn = "0254-5330",
publisher = "Springer Netherlands",

}

RIS

TY - JOUR

T1 - A DEMATEL-based completion method for incomplete Pairwise Comparison Matrix in AHP

AU - Zhou, Xinyi

AU - Hu, Yong

AU - Deng, Yong

AU - Chan, Felix T. S.

AU - Ishizaka, Alessio

N1 - embargo 12 mths This is an Accepted Manuscript of an article published in Annals of Operations Research. The final publication is available at Springer via http://dx.doi.org/10.1007/s10479-018-2769-3

PY - 2018/2/1

Y1 - 2018/2/1

N2 - 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.

AB - 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.

KW - AHP

KW - Pairwise Comparison Matrix

KW - completion method

KW - missing values

KW - DEMATEL

UR - https://link.springer.com/journal/10479

U2 - 10.1007/s10479-018-2769-3

DO - 10.1007/s10479-018-2769-3

M3 - Article

JO - Annals of Operations Research

JF - Annals of Operations Research

SN - 0254-5330

ER -

ID: 8449764