IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v190y2008i3p672-678.html
   My bibliography  Save this article

Note on group consistency in analytic hierarchy process

Author

Listed:
  • Lin, Robert
  • Lin, Jennifer Shu-Jen
  • Chang, Jason
  • Tang, Didos
  • Chao, Henry
  • Julian, Peter C

Abstract

We study the paper of Xu [Z. Xu, On consistency of the weighted geometric mean complex judgement matrix in AHP, European Journal of Operational Research 126 (2000) 683-687] for the group consistency in analytic hierarchy process of multicriteria decision-making. The purpose of this note is threefold. First, we point out the questionable results in this paper. Second, for three by three comparison matrices, we provide a patchwork for his method. Third, we constructed a counter example to show that in general his method is wrong. Numerical examples are provided to illustrate our findings. If there are four or more alternatives, then we may advise researchers to ignore his results to avoid questionable estimation of group consistency.

Suggested Citation

  • Lin, Robert & Lin, Jennifer Shu-Jen & Chang, Jason & Tang, Didos & Chao, Henry & Julian, Peter C, 2008. "Note on group consistency in analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 190(3), pages 672-678, November.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:3:p:672-678
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)00654-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Escobar, M. T. & Aguaron, J. & Moreno-Jimenez, J. M., 2004. "A note on AHP group consistency for the row geometric mean priorization procedure," European Journal of Operational Research, Elsevier, vol. 153(2), pages 318-322, March.
    2. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    3. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    4. Xu, Z., 2000. "On consistency of the weighted geometric mean complex judgement matrix in AHP," European Journal of Operational Research, Elsevier, vol. 126(3), pages 683-687, November.
    5. Aull-Hyde, Rhonda & Erdogan, Sevgi & Duke, Joshua M., 2006. "An experiment on the consistency of aggregated comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 171(1), pages 290-295, May.
    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. Yung-Tsan Jou & Charmine Sheena Saflor & Klint Allen Mariñas & Michael Nayat Young, 2023. "Determining Factors Affecting Perceived Customer Satisfaction on Public Utility Bus System in Occidental Mindoro, Philippines: A Case Study on Service Quality Assessment during Major Disruptions," Sustainability, MDPI, vol. 15(4), pages 1-21, February.
    2. Liu, Fang & Zhang, Wei-Guo & Wang, Zhong-Xing, 2012. "A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making," European Journal of Operational Research, Elsevier, vol. 218(3), pages 747-754.
    3. Yu-Yu Ma & Chia-Liang Lin & Hung-Lung Lin, 2023. "Ranking of Service Quality Index and Solutions for Online English Teaching in the Post-COVID-19 Crisis," Mathematics, MDPI, vol. 11(18), pages 1-24, September.
    4. Bernasconi, Michele & Choirat, Christine & Seri, Raffaello, 2014. "Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence," European Journal of Operational Research, Elsevier, vol. 232(3), pages 584-592.
    5. Przybyła-Kasperek, Małgorzata & Wakulicz-Deja, Alicja, 2016. "The strength of coalition in a dispersed decision support system with negotiations," European Journal of Operational Research, Elsevier, vol. 252(3), pages 947-968.
    6. Jian Wan & Chia-Liang Lin, 2023. "Research on the Service Quality Index and Alternatives Evaluation and Ranking for Online Yue Kiln Celadon Art Education in Post COVID-19 Era," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    7. Lin, Hsiu-Fen & Huang, Yi-Wen, 2015. "Using analytic network process to measure the determinants of low cost carriers purchase intentions: A comparison of potential and current customers," Journal of Air Transport Management, Elsevier, vol. 49(C), pages 9-16.
    8. Grošelj, Petra & Zadnik Stirn, Lidija, 2012. "Acceptable consistency of aggregated comparison matrices in analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 223(2), pages 417-420.
    9. Nguyen Van Thanh & Nguyen Thi Kim Lan, 2022. "Solar Energy Deployment for the Sustainable Future of Vietnam: Hybrid SWOC-FAHP-WASPAS Analysis," Energies, MDPI, vol. 15(8), pages 1-11, April.
    10. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    11. 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.
    12. Chia-Liang Lin & Jwu-Jenq Chen & Yu-Yu Ma, 2023. "Ranking of Service Quality Solution for Blended Design Teaching Using Fuzzy ANP and TOPSIS in the Post-COVID-19 Era," Mathematics, MDPI, vol. 11(5), pages 1-28, March.

    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. Bernasconi, Michele & Choirat, Christine & Seri, Raffaello, 2014. "Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence," European Journal of Operational Research, Elsevier, vol. 232(3), pages 584-592.
    2. Cortés-Aldana, Félix Antonio & García-Melón, Mónica & Fernández-de-Lucio, Ignacio & Aragonés-Beltrán, Pablo & Poveda-Bautista, Rocío, 2009. "University objectives and socioeconomic results: A multicriteria measuring of alignment," European Journal of Operational Research, Elsevier, vol. 199(3), pages 811-822, December.
    3. Meng, Fanyong & Tan, Chunqiao & Chen, Xiaohong, 2017. "Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study," Omega, Elsevier, vol. 68(C), pages 17-38.
    4. Rabelo, Luis & Eskandari, Hamidreza & Shaalan, Tarek & Helal, Magdy, 2007. "Value chain analysis using hybrid simulation and AHP," International Journal of Production Economics, Elsevier, vol. 105(2), pages 536-547, February.
    5. Jerónimo Aznar & Francisco Guijarro & José Moreno-Jiménez, 2011. "Mixed valuation methods: a combined AHP-GP procedure for individual and group multicriteria agricultural valuation," Annals of Operations Research, Springer, vol. 190(1), pages 221-238, October.
    6. 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.
    7. Zhu, Bin & Xu, Zeshui, 2014. "Stochastic preference analysis in numerical preference relations," European Journal of Operational Research, Elsevier, vol. 237(2), pages 628-633.
    8. M Tavana & M A Sodenkamp, 2010. "A fuzzy multi-criteria decision analysis model for advanced technology assessment at Kennedy Space Center," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(10), pages 1459-1470, October.
    9. Toly Chen, 2021. "A diversified AHP-tree approach for multiple-criteria supplier selection," Computational Management Science, Springer, vol. 18(4), pages 431-453, October.
    10. Mamata Sahu & Anjana Gupta, 2019. "Improving the consistency of incomplete hesitant multiplicative preference relation," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 324-343, March.
    11. Iwasaki, S & Tone, K, 1998. "A Search Model with Subjective Judgments: Auditing of Incorrect Tax Declarations," Omega, Elsevier, vol. 26(2), pages 249-261, April.
    12. Lai, Po‐Lin & Potter, Andrew & Beynon, Malcolm & Beresford, Anthony, 2015. "Evaluating the efficiency performance of airports using an integrated AHP/DEA-AR technique," Transport Policy, Elsevier, vol. 42(C), pages 75-85.
    13. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    14. Zhu, Bin & Xu, Zeshui, 2014. "Analytic hierarchy process-hesitant group decision making," European Journal of Operational Research, Elsevier, vol. 239(3), pages 794-801.
    15. Aull-Hyde, Rhonda & Erdogan, Sevgi & Duke, Joshua M., 2006. "An experiment on the consistency of aggregated comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 171(1), pages 290-295, May.
    16. Hsu, David W.L. & Shen, Yung-Chi & Yuan, Benjamin J.C. & Chou, Chiyan James, 2015. "Toward successful commercialization of university technology: Performance drivers of university technology transfer in Taiwan," Technological Forecasting and Social Change, Elsevier, vol. 92(C), pages 25-39.
    17. Carmone, Frank J. & Kara, Ali & Zanakis, Stelios H., 1997. "A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 102(3), pages 538-553, November.
    18. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    19. L. N. Pradeep Kumar Rallabandi & Ravindranath Vandrangi & Subba Rao Rachakonda, 2016. "Improved Consistency Ratio for Pairwise Comparison Matrix in Analytic Hierarchy Processes," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-19, June.
    20. Zorica Srđević & Bojan Srđević & Kosana Suvočarev & Laslo Galamboš, 2020. "Hybrid Constructed Wetland Selection as a Group Decision-Making Problem," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 295-310, January.

    More about this item

    Statistics

    Access and download statistics

    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:eee:ejores:v:190:y:2008:i:3:p:672-678. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.