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Evaluation of the results of multi-attribute group decision-making with linguistic information

Author

Listed:
  • Pang, Jifang
  • Liang, Jiye

Abstract

Multi-attribute group decision-making (MAGDM) has received increasing attentions in both engineering and economy fields. Correspondingly, many valuable methods have been developed to solve various MAGDM problems, but relatively, very few research results focus on the evaluation of the effect of MAGDM. In this paper, based on the existing MAGDM methods with linguistic information, three key evaluation indices, consistency, closeness and uniformity, are proposed to measure the results of MAGDM from different aspects. By comparing the individual overall preference values with the collective ones, the three indices cannot only provide a reference for judging the decision-making effect of each decision maker, but also reflect the effect of group decision-making to a certain extent. The practicality and effectiveness of the proposed method are shown by two heuristic examples. Furthermore, the proposed method will be helpful for setting and adjusting the weights of both attributes and decision makers, as well as for selecting and comparing various aggregation operators and methods in dynamic or interactive group decision-making.

Suggested Citation

  • Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
  • Handle: RePEc:eee:jomega:v:40:y:2012:i:3:p:294-301
    DOI: 10.1016/j.omega.2011.07.006
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Ricardo J. G. Mateus & João C. Bana e Costa & Pedro Verga Matos, 0. "Supporting Multicriteria Group Decisions with MACBETH Tools: Selection of Sustainable Brownfield Redevelopment Actions," Group Decision and Negotiation, Springer, vol. 0, pages 1-27.
    2. repec:spr:fuzodm:v:16:y:2017:i:3:d:10.1007_s10700-016-9250-z is not listed on IDEAS
    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. Li, Sheng-Tun & Chou, Wei-Chien, 2014. "Power planning in ICT infrastructure: A multi-criteria operational performance evaluation approach," Omega, Elsevier, vol. 49(C), pages 134-148.
    5. 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.
    6. Jessop, Alan, 2014. "IMP: A decision aid for multiattribute evaluation using imprecise weight estimates," Omega, Elsevier, vol. 49(C), pages 18-29.
    7. Ahn, Byeong Seok & Park, Haechurl, 2014. "Establishing dominance between strategies with interval judgments of state probabilities," Omega, Elsevier, vol. 49(C), pages 53-59.
    8. repec:eee:jomega:v:70:y:2017:i:c:p:94-117 is not listed on IDEAS
    9. Ricardo J. G. Mateus & João C. Bana e Costa & Pedro Verga Matos, 2017. "Supporting Multicriteria Group Decisions with MACBETH Tools: Selection of Sustainable Brownfield Redevelopment Actions," Group Decision and Negotiation, Springer, vol. 26(3), pages 495-521, May.
    10. 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.
    11. Lan, Jibin & Chen, Yuwen & Ning, Mengyao & Wang, Zhongxing, 2015. "A new linguistic aggregation operator and its application to multiple attribute decision making," Operations Research Perspectives, Elsevier, vol. 2(C), pages 156-164.
    12. Wan, Shu-Ping & Li, Deng-Feng, 2013. "Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees," Omega, Elsevier, vol. 41(6), pages 925-940.
    13. 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.
    14. repec:wsi:ijitdm:v:16:y:2017:i:05:n:s0219622014500321 is not listed on IDEAS
    15. repec:eee:jomega:v:75:y:2018:i:c:p:154-164 is not listed on IDEAS

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