IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v271y2018i2d10.1007_s10479-018-2769-3.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-018-2769-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-018-2769-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chan, Felix T.S. & Kumar, Niraj, 2007. "Global supplier development considering risk factors using fuzzy extended AHP-based approach," Omega, Elsevier, vol. 35(4), pages 417-431, August.
    2. Wu, Cheng-Ru & Lin, Chin-Tsai & Tsai, Pei-Hsuan, 2010. "Evaluating business performance of wealth management banks," European Journal of Operational Research, Elsevier, vol. 207(2), pages 971-979, December.
    3. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
    4. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
    5. Matteo Brunelli & Luisa Canal & Michele Fedrizzi, 2013. "Inconsistency indices for pairwise comparison matrices: a numerical study," Annals of Operations Research, Springer, vol. 211(1), pages 493-509, December.
    6. Kun Chen & Gang Kou & J. Michael Tarn & Yan Song, 2015. "Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices," Annals of Operations Research, Springer, vol. 235(1), pages 155-175, December.
    7. Govindan, Kannan & Kaliyan, Mathiyazhagan & Kannan, Devika & Haq, A.N., 2014. "Barriers analysis for green supply chain management implementation in Indian industries using analytic hierarchy process," International Journal of Production Economics, Elsevier, vol. 147(PB), pages 555-568.
    8. Ali Emrouznejad & Marianna Marra, 2017. "The state of the art development of AHP (1979–2017): a literature review with a social network analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6653-6675, November.
    9. Tomashevskii, I.L., 2015. "Eigenvector ranking method as a measuring tool: Formulas for errors," European Journal of Operational Research, Elsevier, vol. 240(3), pages 774-780.
    10. Vetschera, Rudolf, 2017. "Deriving rankings from incomplete preference information: A comparison of different approaches," European Journal of Operational Research, Elsevier, vol. 258(1), pages 244-253.
    11. Alessio Ishizaka & Vijay Edward Pereira, 2016. "Portraying an employee performance management system based on multi-criteria decision analysis and visual techniques," International Journal of Manpower, Emerald Group Publishing Limited, vol. 37(4), pages 628-659, July.
    12. Gwo-Hshiung Tzeng & Chi-Yo Huang, 2012. "Combined DEMATEL technique with hybrid MCDM methods for creating the aspired intelligent global manufacturing & logistics systems," Annals of Operations Research, Springer, vol. 197(1), pages 159-190, August.
    13. Wang, Ying-Ming & Luo, Ying & Hua, Zhongsheng, 2008. "On the extent analysis method for fuzzy AHP and its applications," European Journal of Operational Research, Elsevier, vol. 186(2), pages 735-747, April.
    14. Wu, Hsin-Hung & Chang, Shih-Yu, 2015. "A case study of using DEMATEL method to identify critical factors in green supply chain management," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 394-403.
    15. Brunelli, Matteo & Fedrizzi, Michele, 2015. "Boundary properties of the inconsistency of pairwise comparisons in group decisions," European Journal of Operational Research, Elsevier, vol. 240(3), pages 765-773.
    16. Amy H. I. Lee & He-Yau Kang & Chun-Yu Lin & Kuan-Chin Shen, 2015. "An Integrated Decision-Making Model for the Location of a PV Solar Plant," Sustainability, MDPI, vol. 7(10), pages 1-20, September.
    17. José María Moreno-Jiménez & Manuel Salvador & Pilar Gargallo & Alfredo Altuzarra, 2016. "Systemic decision making in AHP: a Bayesian approach," Annals of Operations Research, Springer, vol. 245(1), pages 261-284, October.
    18. Ishizaka, Alessio & Siraj, Sajid & Nemery, Philippe, 2016. "Which energy mix for the UK (United Kingdom)? An evolutive descriptive mapping with the integrated GAIA (graphical analysis for interactive aid)–AHP (analytic hierarchy process) visualization tool," Energy, Elsevier, vol. 95(C), pages 602-611.
    19. James J.H. Liou & Jolanta Tamošaitienė & Edmundas K. Zavadskas & Gwo-Hshiung Tzeng, 2016. "New hybrid COPRAS-G MADM Model for improving and selecting suppliers in green supply chain management," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 114-134, January.
    20. Sang-Bing Tsai & Min-Fang Chien & Youzhi Xue & Lei Li & Xiaodong Jiang & Quan Chen & Jie Zhou & Lei Wang, 2015. "Using the Fuzzy DEMATEL to Determine Environmental Performance: A Case of Printed Circuit Board Industry in Taiwan," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-18, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aditya Kamat & Saket Shanker & Akhilesh Barve & Kamalakanta Muduli & Sachin Kumar Mangla & Sunil Luthra, 2022. "Uncovering interrelationships between barriers to unmanned aerial vehicles in humanitarian logistics," Operations Management Research, Springer, vol. 15(3), pages 1134-1160, December.
    2. Ignacio J. Navarro & José V. Martí & Víctor Yepes, 2021. "Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices," Mathematics, MDPI, vol. 9(5), pages 1-19, February.
    3. Yanbin Li & Feng Zhang & Yun Li & Bingkang Li & Zhen Li, 2019. "Evaluating the Power Grid Investment Behavior in China: From the Perspective of Government Supervision," Energies, MDPI, vol. 12(21), pages 1-23, November.
    4. Ágoston, Kolos Csaba & Csató, László, 2024. "A lexicographically optimal completion for pairwise comparison matrices with missing entries," European Journal of Operational Research, Elsevier, vol. 314(3), pages 1078-1086.
    5. Anshu Gupta & Pallavi Sharma & Akansha Jain & Hongbo Xue & S. C. Malik & P. C. Jha, 2023. "An integrated DEMATEL Six Sigma hybrid framework for manufacturing process improvement," Annals of Operations Research, Springer, vol. 322(2), pages 713-753, March.
    6. Yin, Likang & Deng, Yong, 2018. "Toward uncertainty of weighted networks: An entropy-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 176-186.
    7. Wei, Bo & Deng, Yong, 2019. "A cluster-growing dimension of complex networks: From the view of node closeness centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 80-87.
    8. Huang, Zhiming & Yang, Lin & Jiang, Wen, 2019. "Uncertainty measurement with belief entropy on the interference effect in the quantum-like Bayesian Networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 417-428.
    9. Fei, Liguo & Zhang, Qi & Deng, Yong, 2018. "Identifying influential nodes in complex networks based on the inverse-square law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1044-1059.
    10. Xiaobo Zhang & Chengshan Wang & Jie Fan & Huijun Wang & Hailong Li, 2020. "Optimizing the Analytic Hierarchy Process through a Suitability Evaluation of Underground Space Development in Tonghu District, Huizhou City," Energies, MDPI, vol. 13(3), pages 1-22, February.
    11. Efthimios Bakogiannis & Thanos Vlastos & Konstantinos Athanasopoulos & Avgi Vassi & Georgia Christodoulopoulou & Christos Karolemeas & Stefanos Tsigdinos & Charalampos Kyriakidis & Maria-Stella Noutso, 2020. "Exploring Motivators and Deterrents of Cycling Tourism Using Qualitative Social Research Methods and Participative Analytical Hierarchy Process (AHP)," Sustainability, MDPI, vol. 12(6), pages 1-15, March.
    12. Sadeeka Layomi Jayasinghe & Lalit Kumar & Janaki Sandamali, 2019. "Assessment of Potential Land Suitability for Tea ( Camellia sinensis (L.) O. Kuntze) in Sri Lanka Using a GIS-Based Multi-Criteria Approach," Agriculture, MDPI, vol. 9(7), pages 1-25, July.
    13. Wen Jiang & Zeyu Ma & Xinyang Deng, 2019. "An attack-defense game based reliability analysis approach for wireless sensor networks," International Journal of Distributed Sensor Networks, , vol. 15(4), pages 15501477198, April.
    14. Liang, Jinhao & Irfan, Muhammad & Ikram, Muhammad & Zimon, Dominik, 2022. "Evaluating natural resources volatility in an emerging economy: The influence of solar energy development barriers," Resources Policy, Elsevier, vol. 78(C).
    15. Murat İnce & Tuncay Yiğit & Ali Hakan Işik, 2020. "A Novel Hybrid Fuzzy AHP-GA Method for Test Sheet Question Selection," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 629-647, April.
    16. Libiao Bai & Kanyin Zheng & Zhiguo Wang & Jiale Liu, 2022. "Service provider portfolio selection for project management using a BP neural network," Annals of Operations Research, Springer, vol. 308(1), pages 41-62, January.
    17. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
    18. Zsombor Szádoczki & Sándor Bozóki & Patrik Juhász & Sergii V. Kadenko & Vitaliy Tsyganok, 2023. "Incomplete pairwise comparison matrices based on graphs with average degree approximately 3," Annals of Operations Research, Springer, vol. 326(2), pages 783-807, July.
    19. Liqi Yi & Tao Li & Xiangyi Wang & Gentana Ge & Ting Zhang, 2022. "Corporate social responsibility performance evaluation from the perspective of stakeholder heterogeneity based on fuzzy analytical hierarchy process integrated TOPSIS," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 29(4), pages 918-935, July.
    20. Fu, Yan-Kai, 2019. "An integrated approach to catering supplier selection using AHP-ARAS-MCGP methodology," Journal of Air Transport Management, Elsevier, vol. 75(C), pages 164-169.
    21. Akshay Hinduja & Manju Pandey, 2019. "An Integrated Intuitionistic Fuzzy MCDM Approach to Select Cloud-Based ERP System for SMEs," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1875-1908, November.
    22. Patanjal Kumar & Sachin Kumar Mangla & Yigit Kazancoglu & Ali Emrouznejad, 2023. "A decision framework for incorporating the coordination and behavioural issues in sustainable supply chains in digital economy," Annals of Operations Research, Springer, vol. 326(2), pages 721-749, July.
    23. Li, Meizhu & Zhang, Qi & Deng, Yong, 2018. "Evidential identification of influential nodes in network of networks," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 283-296.
    24. Schulze-González, Erik & Pastor-Ferrando, Juan-Pascual & Aragonés-Beltrán, Pablo, 2023. "Clustering and reference value for assessing influence in analytic network process without pairwise comparison matrices: Study of 17 real cases," Operations Research Perspectives, Elsevier, vol. 10(C).
    25. Tekile, Hailemariam Abebe & Brunelli, Matteo & Fedrizzi, Michele, 2023. "A numerical comparative study of completion methods for pairwise comparison matrices," Operations Research Perspectives, Elsevier, vol. 10(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lundy, Michele & Siraj, Sajid & Greco, Salvatore, 2017. "The mathematical equivalence of the “spanning tree” and row geometric mean preference vectors and its implications for preference analysis," European Journal of Operational Research, Elsevier, vol. 257(1), pages 197-208.
    2. Abastante, Francesca & Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio & Lami, Isabella M., 2018. "Choice architecture for architecture choices: Evaluating social housing initiatives putting together a parsimonious AHP methodology and the Choquet integral," Land Use Policy, Elsevier, vol. 78(C), pages 748-762.
    3. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
    4. Matteo Brunelli, 2017. "Studying a set of properties of inconsistency indices for pairwise comparisons," Annals of Operations Research, Springer, vol. 248(1), pages 143-161, January.
    5. Seles, Bruno Michel Roman Pais & de Sousa Jabbour, Ana Beatriz Lopes & Jabbour, Charbel José Chiappetta & Dangelico, Rosa Maria, 2016. "The green bullwhip effect, the diffusion of green supply chain practices, and institutional pressures: Evidence from the automotive sector," International Journal of Production Economics, Elsevier, vol. 182(C), pages 342-355.
    6. Wang, Xiaojun & Chan, Hing Kai & Li, Dong, 2015. "A case study of an integrated fuzzy methodology for green product development," European Journal of Operational Research, Elsevier, vol. 241(1), pages 212-223.
    7. Lo, Huai-Wei & Liou, James J.H. & Huang, Chun-Nen & Chuang, Yen-Ching & Tzeng, Gwo-Hshiung, 2020. "A new soft computing approach for analyzing the influential relationships of critical infrastructures," International Journal of Critical Infrastructure Protection, Elsevier, vol. 28(C).
    8. Paul Thaddeus Kazibudzki, 2016. "An examination of performance relations among selected consistency measures for simulated pairwise judgments," Annals of Operations Research, Springer, vol. 244(2), pages 525-544, September.
    9. Büyüközkan, Gülçin & Güleryüz, Sezin, 2016. "An integrated DEMATEL-ANP approach for renewable energy resources selection in Turkey," International Journal of Production Economics, Elsevier, vol. 182(C), pages 435-448.
    10. Zsombor Szádoczki & Sándor Bozóki & Patrik Juhász & Sergii V. Kadenko & Vitaliy Tsyganok, 2023. "Incomplete pairwise comparison matrices based on graphs with average degree approximately 3," Annals of Operations Research, Springer, vol. 326(2), pages 783-807, July.
    11. Calabrese, Armando & Costa, Roberta & Levialdi, Nathan & Menichini, Tamara, 2019. "Integrating sustainability into strategic decision-making: A fuzzy AHP method for the selection of relevant sustainability issues," Technological Forecasting and Social Change, Elsevier, vol. 139(C), pages 155-168.
    12. Yen-Ching Chuang & Shu-Kung Hu & James J. H. Liou & Huai-Wei Lo, 2018. "Building a Decision Dashboard for Improving Green Supply Chain Management," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 1363-1398, September.
    13. Michele Fedrizzi & Nino Civolani & Andrew Critch, 2020. "Inconsistency evaluation in pairwise comparison using norm-based distances," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 657-672, December.
    14. Arthur J. Lin & Hai-Yen Chang & Sun-Weng Huang & Gwo-Hshiung Tzeng, 2021. "Criteria affecting Taiwan wealth management banks in serving high-net-worth individuals during COVID-19: a DEMATEL approach," Journal of Financial Services Marketing, Palgrave Macmillan, vol. 26(4), pages 274-294, December.
    15. Marcin Anholcer & János Fülöp, 2019. "Deriving priorities from inconsistent PCM using network algorithms," Annals of Operations Research, Springer, vol. 274(1), pages 57-74, March.
    16. Alipour, M. & Alighaleh, S. & Hafezi, R. & Omranievardi, M., 2017. "A new hybrid decision framework for prioritizing funding allocation to Iran's energy sector," Energy, Elsevier, vol. 121(C), pages 388-402.
    17. Kusi-Sarpong, Simonov & Sarkis, Joseph & Wang, Xuping, 2016. "Assessing green supply chain practices in the Ghanaian mining industry: A framework and evaluation," International Journal of Production Economics, Elsevier, vol. 181(PB), pages 325-341.
    18. Harshitha Urs Ajjipura Shankar & Udaya Kumara Kodipalya Nanjappa & M. D. Alsulami & Ballajja C. Prasannakumara, 2022. "A Fuzzy AHP-Fuzzy TOPSIS Urged Baseline Aid for Execution Amendment of an Online Food Delivery Affability," Mathematics, MDPI, vol. 10(16), pages 1-24, August.
    19. Raman Kumar Goyal & Sakshi Kaushal, 2018. "Deriving crisp and consistent priorities for fuzzy AHP-based multicriteria systems using non-linear constrained optimization," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 195-209, June.
    20. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:271:y:2018:i:2:d:10.1007_s10479-018-2769-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.