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The multi-attribute group decision-making method based on the interval grey uncertain linguistic generalized hybrid averaging operator

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Abstract

With respect to the multi-attribute group decision-making (MAGDM) problems with the interval grey uncertain linguistic variables (IGULVs), the MAGDM method based on the interval grey uncertain linguistic generalized hybrid averaging (IGULGHA) operator is proposed. Firstly, the operation rules, the properties and the comparing method of the IGUVs are introduced. Then, some aggregation operators such as interval grey uncertain linguistic generalized ordered weighted aggregation (IGULGOWA) operator and interval grey uncertain linguistic generalized hybrid aggregation (IGULGHA) operator are defined, and some properties such as idempotency, commutativity, monotonicity and boundedness are proved, and then, the decision-making methods based on these operators are presented to solve the group decision-making problems. Finally, a numerical example is used to show the proposed method, and the influence of the different position weight vector w and the different parameter λ on decision-making is analysed. The result shows that the method is simple and effective.

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Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Nos. 71471172 and 71271124), the Humanities and Social Sciences Research Project of Ministry of Education of China (No. 13YJC630104), The National Soft Science Project (No. 2014GXQ4D192) and graduate education innovation projects in Shandong Province (SDYY12065). The author also would like to express appreciation to the anonymous reviewers for their very helpful comments that improved the paper.

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Authors and Affiliations

  1. School of Economics and Management, Civil Aviation University of China, Tianjin, 300300, China

    Peide Liu, Yanchang Chu & Yanwei Li

  2. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China

    Peide Liu

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  1. Peide Liu
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  2. Yanchang Chu
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  3. Yanwei Li
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Correspondence to Peide Liu.

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Liu, P., Chu, Y. & Li, Y. The multi-attribute group decision-making method based on the interval grey uncertain linguistic generalized hybrid averaging operator. Neural Comput & Applic 26, 1395–1405 (2015). https://doi.org/10.1007/s00521-014-1814-7

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  • DOI: https://doi.org/10.1007/s00521-014-1814-7

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