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Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators

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Abstract

Considering that interval 2-tuple linguistic model can solve the interval linguistic multi-criteria decision-making problems, and Choquet integral can deal with the multi-criteria group decision-making problems with correlated criteria, in the revelation of these two methods, this paper combined them together to cope with the interval linguistic multi-criteria group decision-making problems with correlated criteria. Because of the limitations of 2-tuple linguistic representation model, a modified composite scale based on 2-tuple linguistic model was proposed which can better improve the accuracy of decision-making. First, using Choquet integral and interval 2-tuple linguistic model, two aggregation operators with their properties were introduced to better reflect correlations among criteria, i.e., the interval 2-tuple correlated averaging operator and the interval 2-tuple correlated geometric operator. Then, a multi-criteria group decision-making method based on the above operators was proposed. Finally, the proposed method was compared with the existing ones based on the same illustrative example to confirm its feasibility and rationality.

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Acknowledgments

The authors thank the editors and anonymous reviewers for their helpful comments and suggestions. This work was supported by the National Natural Science Foundation of China (Nos. 71271218 and 71221061).

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Authors and Affiliations

  1. School of Business, Central South University, Changsha , 410083, China

    Jian-qiang Wang, Dan-dan Wang, Hong-yu Zhang & Xiao-hong Chen

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  1. Jian-qiang Wang
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  2. Dan-dan Wang
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  3. Hong-yu Zhang
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  4. Xiao-hong Chen
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Correspondence to Jian-qiang Wang.

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Communicated by C.-T. Lin.

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Wang, Jq., Wang, Dd., Zhang, Hy. et al. Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators. Soft Comput 19, 389–405 (2015). https://doi.org/10.1007/s00500-014-1259-z

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