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An incomplete probabilistic linguistic multi-attribute group decision making method based on a three-dimensional trust network

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A Correction to this article was published on 14 September 2022

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Abstract

It is necessary to consider the trust relationship among experts in the process of group decision-making, however the trust network and preference information among experts may be incomplete. Therefore, this paper proposes an incomplete probabilistic linguistic multi-attribute group decision-making method based on a three-dimensional trust network. Firstly, the two-dimensional trust network is extended to the three-dimensional form, and the probabilistic linguistic term sets are used to express the trust relationship and degree among experts. On this basis, considering the situation of incomplete information, the trust transfer function is designed to complete the establishment of the trust network. Secondly, in order to complete the incomplete probabilistic linguistic decision preference information of experts, the relative trust of experts and the cosine similarity of preference relations are comprehensively considered. Then, the least average method is used to determine the evaluation information that needs to be adjusted, and different opinion adoption factors are set for a personalized recommendation. Finally, an evaluation case of the national wetland park pilot and comparative analysis are used to demonstrate the effectiveness and applicability of the proposed method.

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Acknowledgement

The work presented in this paper is supported by the National Natural Science Foundation of China (No. 71701037,71971051),  Natural Science Foundation of Hebei province（No.G2021501004）, Fundamental Research Funds for the Central Universities (No.N2123020), and Postdoctoral Science Foundation of China（2019M663542.

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Authors and Affiliations

  1. School of Business Administration, Northeastern University, Shenyang, 110819, Liaoning, China

    Meng Zhao, Dan Kou & Ling Li

  2. Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China

    Meng Zhao, Dan Kou & Ling Li

  3. College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350117, Fujian, China

    Mingwei Lin

  4. Digital Fujian Internet-of-Things Laboratory of Environmental Monitoring, Fujian Normal University, Fuzhou, 350117, Fujian, China

    Mingwei Lin

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  1. Meng Zhao
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  2. Dan Kou
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  3. Ling Li
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Correspondence to Mingwei Lin.

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Zhao, M., Kou, D., Li, L. et al. An incomplete probabilistic linguistic multi-attribute group decision making method based on a three-dimensional trust network. Appl Intell 53, 5029–5047 (2023). https://doi.org/10.1007/s10489-022-03738-3

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