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A Practical Procedure for Group Decision Making under Incomplete Multiplicative Linguistic Preference Relations

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  • Zeshui Xu

    (Tsinghua University)

Abstract

The aim of this paper is to investigate a group decision making problem with incomplete multiplicative linguistic preference relations. We first define the concept of an incomplete multiplicative linguistic preference relation, and then develop a simple algorithm to extend each incomplete multiplicative linguistic preference relation to a complete multiplicative linguistic preference relation. Finally, we develop a practical procedure for group decision making under incomplete multiplicative linguistic preference relations, and give a numerical example to illustrate the developed procedure.

Suggested Citation

  • Zeshui Xu, 2006. "A Practical Procedure for Group Decision Making under Incomplete Multiplicative Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 15(6), pages 581-591, November.
    • Handle: RePEc:spr:grdene:v:15:y:2006:i:6:d:10.1007_s10726-006-9034-x
    DOI: 10.1007/s10726-006-9034-x
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    References listed on IDEAS

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    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    2. Wang, Reay-Chen & Chuu, Shian-Jong, 2004. "Group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a manufacturing system," European Journal of Operational Research, Elsevier, vol. 154(3), pages 563-572, May.
    3. Herrera, F. & Martinez, L. & Sanchez, P. J., 2005. "Managing non-homogeneous information in group decision making," European Journal of Operational Research, Elsevier, vol. 166(1), pages 115-132, October.
    4. Liu, Chih-Ming & Wang, Mao-Jiun & Pang, Yock-Seng, 1994. "A multiple criteria linguistic decision model (MCLDM) for human decision making," European Journal of Operational Research, Elsevier, vol. 76(3), pages 466-485, August.
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    Cited by:

    1. 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.
    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. Ana X. Halabi & Jairo R. Montoya-Torres & Nelson Obregón, 2012. "A Case Study of Group Decision Method for Environmental Foresight and Water Resources Planning Using a Fuzzy Approach," Group Decision and Negotiation, Springer, vol. 21(2), pages 205-232, March.
    4. Byeong Seok Ahn, 2014. "Developing Group Ordered Weighted Averaging Operator Weights for Group Decision Support," Group Decision and Negotiation, Springer, vol. 23(5), pages 1127-1143, September.
    5. 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.
    6. 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.
    7. Zeshui Xu & Xiaoqiang Cai, 2014. "Deriving Weights from Interval Multiplicative Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(4), pages 695-713, July.

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