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Some generalized interval-valued hesitant uncertain linguistic aggregation operators and their applications to multiple attribute group decision making

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Abstract

With respect to multiple attribute group decision making (MAGDM) problems in which the assessment values of attributes take the form of interval-valued hesitant uncertain linguistic elements, a novel MAGDM method is proposed in this paper. Firstly, the concept, operational laws and score function of interval-valued hesitant uncertain linguistic elements (IVHULEs) are introduced. Then, based on the operational laws of IVHULEs, some generalized aggregation operators are proposed for aggregating the interval-valued hesitant uncertain linguistic information, including the generalized interval-valued hesitant uncertain linguistic weighted aggregation operators, the generalized interval-valued hesitant uncertain linguistic ordered weighted aggregation operators and the generalized interval-valued hesitant uncertain linguistic hybrid aggregation operators. Furthermore, some desirable properties of these operators and the relationships between them are discussed. Based on the proposed operators, an approach to multiple attribute group decision making with unknown weight information is developed under interval-valued hesitant uncertain linguistic environment. Finally, a numerical example is given to illustrate the application of the proposed method and to demonstrate its practicality and effectiveness.

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Acknowledgments

This research is supported by Program for New Century Excellent Talents in University (NCET-13-0037), Humanities and Social Sciences Foundation of Ministry of Education of China (No.14YJA630019), Natural Science Foundation of China (No. 70972007), and Beijing Municipal Natural Science Foundation (No. 9102015).

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Authors and Affiliations

  1. School of Management and Economics, Beijing Institute of Technology, Beijing, 100081, China

    Xiaoyue Liu, Yanbing Ju & Shanghong Yang

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  1. Xiaoyue Liu
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  2. Yanbing Ju
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  3. Shanghong Yang
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Correspondence to Yanbing Ju.

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Communicated by V. Loia.

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Liu, X., Ju, Y. & Yang, S. Some generalized interval-valued hesitant uncertain linguistic aggregation operators and their applications to multiple attribute group decision making. Soft Comput 20, 495–510 (2016). https://doi.org/10.1007/s00500-014-1518-z

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  • DOI: https://doi.org/10.1007/s00500-014-1518-z

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