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Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design

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  • Zhang, Hengjie
  • Dong, Yucheng
  • Chiclana, Francisco
  • Yu, Shui

Abstract

Consensus reaching processes (CRPs) aim to help decision-makers achieve agreement regarding the solution to a common decision problem, and consequently play an increasingly important role in the resolution of group decision making (GDM) problems. To date, a large number of CRPs have been reported. However, there is a lack of a general framework and criteria to evaluate the efficiency of the different CRPs. This paper aims to fill this gap in the research literature on CRPs. To achieve this goal, firstly, a comprehensive review regarding the different approaches to CRP is reported, and a series of CRPs as the comparison objects are presented. Secondly, the following comparison criteria for measuring the efficiency of CPRs are proposed: the number of adjusted decision-makers, the number of adjusted alternatives, the number of adjusted preference values, the distance between the original and the adjusted preference information (adjustment cost), and the number of negotiation rounds required to reach consensus. Following this, a detailed simulation experiment is designed to analyze the efficiency of different CRPs under the mentioned different comparison criteria. Furthermore, new multi-stage optimization-based CRPs are also developed, which the simulation experiment shows to have better comprehensive consensus efficiency in different GDM settings.

Suggested Citation

  • Zhang, Hengjie & Dong, Yucheng & Chiclana, Francisco & Yu, Shui, 2019. "Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design," European Journal of Operational Research, Elsevier, vol. 275(2), pages 580-598.
    • Handle: RePEc:eee:ejores:v:275:y:2019:i:2:p:580-598
    DOI: 10.1016/j.ejor.2018.11.052
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    as
    1. R. O. Parreiras & P. Ya. Ekel & D. C. Morais, 2012. "Fuzzy Set Based Consensus Schemes for Multicriteria Group Decision making Applied to Strategic Planning," Group Decision and Negotiation, Springer, vol. 21(2), pages 153-183, March.
    2. Zaiwu Gong & Chao Xu & Francisco Chiclana & Xiaoxia Xu, 2017. "Consensus Measure with Multi-stage Fluctuation Utility Based on China’s Urban Demolition Negotiation," Group Decision and Negotiation, Springer, vol. 26(2), pages 379-407, March.
    3. Zhen Zhang & Chonghui Guo, 2016. "Consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2572-2587, August.
    4. Greco, Salvatore & Mousseau, Vincent & Słowiński, Roman, 2014. "Robust ordinal regression for value functions handling interacting criteria," European Journal of Operational Research, Elsevier, vol. 239(3), pages 711-730.
    5. Gong, Zaiwu & Xu, Xiaoxia & Zhang, Huanhuan & Aytun Ozturk, U. & Herrera-Viedma, Enrique & Xu, Chao, 2015. "The consensus models with interval preference opinions and their economic interpretation," Omega, Elsevier, vol. 55(C), pages 81-90.
    6. Dong, Yucheng & Liu, Yating & Liang, Haiming & Chiclana, Francisco & Herrera-Viedma, Enrique, 2018. "Strategic weight manipulation in multiple attribute decision making," Omega, Elsevier, vol. 75(C), pages 154-164.
    7. Yucheng Dong & Cong-Cong Li & Yinfeng Xu & Xin Gu, 2015. "Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 217-242, March.
    8. Gong, Zaiwu & Zhang, Huanhuan & Forrest, Jeffrey & Li, Lianshui & Xu, Xiaoxia, 2015. "Two consensus models based on the minimum cost and maximum return regarding either all individuals or one individual," European Journal of Operational Research, Elsevier, vol. 240(1), pages 183-192.
    9. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    10. J. M. Moreno-Jiménez & J. Aguarón & M. T. Escobar, 2008. "The Core of Consistency in AHP-Group Decision Making," Group Decision and Negotiation, Springer, vol. 17(3), pages 249-265, May.
    11. Wu, Zhibin & Xu, Jiuping, 2016. "Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations," Omega, Elsevier, vol. 65(C), pages 28-40.
    12. Alfredo Altuzarra & José María Moreno-Jiménez & Manuel Salvador, 2010. "Consensus Building in AHP-Group Decision Making: A Bayesian Approach," Operations Research, INFORMS, vol. 58(6), pages 1755-1773, December.
    13. Efremov, Roman & Insua, David Rios & Lotov, Alexander, 2009. "A framework for participatory decision support using Pareto frontier visualization, goal identification and arbitration," European Journal of Operational Research, Elsevier, vol. 199(2), pages 459-467, December.
    14. Cheng, Dong & Zhou, Zhili & Cheng, Faxin & Zhou, Yanfang & Xie, Yujing, 2018. "Modeling the minimum cost consensus problem in an asymmetric costs context," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1122-1137.
    15. Kacprzyk, Janusz & Fedrizzi, Mario, 1988. "A `soft' measure of consensus in the setting of partial (fuzzy) preferences," European Journal of Operational Research, Elsevier, vol. 34(3), pages 316-325, March.
    16. Dong, Qingxing & Cooper, Orrin, 2016. "A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making," European Journal of Operational Research, Elsevier, vol. 250(2), pages 521-530.
    17. Yucheng Dong & Jiuping Xu, 2016. "Consensus Building in Group Decision Making," Springer Books, Springer, number 978-981-287-892-2, January.
    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. Jiuping Xu & Zhibin Wu & Yuan Zhang, 2014. "A Consensus Based Method for Multi-criteria Group Decision Making Under Uncertain Linguistic Setting," Group Decision and Negotiation, Springer, vol. 23(1), pages 127-148, January.
    20. French, Simon, 1981. "Consensus of opinion," European Journal of Operational Research, Elsevier, vol. 7(4), pages 332-340, August.
    21. 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.
    22. F. J. Cabrerizo & S. Alonso & E. Herrera-Viedma, 2009. "A Consensus Model For Group Decision Making Problems With Unbalanced Fuzzy Linguistic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 109-131.
    23. Kim, Soung Hie & Choi, Sang Hyun & Kim, Jae Kyeong, 1999. "An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach," European Journal of Operational Research, Elsevier, vol. 118(1), pages 139-152, October.
    24. Fanyong Meng & Qingxian An & Xiaohong Chen, 2016. "A consistency and consensus-based method to group decision making with interval linguistic preference relations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1419-1437, November.
    25. María Teresa Escobar & José María Moreno-jiménez, 2007. "Aggregation of Individual Preference Structures in Ahp-Group Decision Making," Group Decision and Negotiation, Springer, vol. 16(4), pages 287-301, July.
    26. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    27. Sun, Bingzhen & Ma, Weimin, 2015. "An approach to consensus measurement of linguistic preference relations in multi-attribute group decision making and application," Omega, Elsevier, vol. 51(C), pages 83-92.
    28. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Feng, Bo, 2010. "The OWA-based consensus operator under linguistic representation models using position indexes," European Journal of Operational Research, Elsevier, vol. 203(2), pages 455-463, June.
    29. Yager, Ronald R., 2002. "Defending against strategic manipulation in uninorm-based multi-agent decision making," European Journal of Operational Research, Elsevier, vol. 141(1), pages 217-232, August.
    30. Maier, Konradin & Stix, Volker, 2013. "A semi-automated approach for structuring multi criteria decision problems," European Journal of Operational Research, Elsevier, vol. 225(3), pages 487-496.
    31. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    32. Jinbaek Kim, 2008. "A model and case for supporting participatory public decision making in e-democracy," Group Decision and Negotiation, Springer, vol. 17(3), pages 179-193, May.
    33. Wade D. Cook & Moshe Kress, 1985. "Ordinal Ranking with Intensity of Preference," Management Science, INFORMS, vol. 31(1), pages 26-32, January.
    34. Dorit S. Hochbaum & Asaf Levin, 2006. "Methodologies and Algorithms for Group-Rankings Decision," Management Science, INFORMS, vol. 52(9), pages 1394-1408, September.
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