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Multi-attribute Group Decision Making Based on Cloud Aggregation Operators Under Interval-Valued Hesitant Fuzzy Linguistic Environment

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Abstract

Interval-valued hesitant fuzzy linguistic set, as an extension of linguistic term set and interval-valued hesitant fuzzy set, can effectively describe uncertainty, hesitancy, and inconsistency inherent in decision-making process. In this paper, a method based on comprehensive cloud aggregation operators is developed for solving multi-attribute group decision-making (MAGDM) problems with interval-valued hesitant fuzzy linguistic numbers (IVHFLNs). First, a comprehensive cloud of an IVHFLN is defined according to the cloud model. Using the comprehensive cloud, a distance measure between two comprehensive clouds is proposed and a distance measure for comprehensive cloud matrices is developed. Then, some generalized geometric aggregation operators of comprehensive clouds for IVHFLNs are introduced, including a comprehensive cloud generalized weighted geometric operator, a comprehensive cloud generalized ordered weighted geometric operator, and a comprehensive cloud generalized hybrid geometric operator. Subsequently, two approaches are presented to compute the deviations among attributes. Then, a programming model of maximizing deviation is established to derive the attribute weights objectively. To determine DMs’ weights, a technique for order preference by similarity to ideal solution-based approach is put forward in interval-valued hesitant fuzzy linguistic environment. The individual order of alternatives for each decision maker is obtained by the comprehensive cloud aggregation operator. To generate the collective order of alternatives, a multi-objective assignment model is constructed and transformed into a single-objective program to resolve. Thus, a method based on comprehensive cloud aggregation operators is proposed for MAGDM with IVHFLNs. Finally, two examples of application are given to demonstrate the applicability and effectiveness of the proposed method.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 71740021, 11461030 and 71774073), Young scientists Training object of Jiangxi province (No. 20151442040081), the Natural Science Foundation of Jiangxi Province of China (Nos. 20171BAB201011 and 20171BAA208019), “Thirteen five” Programming Project of Jiangxi Province Social Science (2016) (No. 16GL19 and 16GL18), Jiangxi Provincial Innovation Project of China (YC2016-S241), Guangxi Natural Science Foundation (No. 2016GXNSFBA380077) and Guangxi Philosophy and Social Science Programming Project (2015) (No. 15FGL011).

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Authors and Affiliations

  1. College of Information Technology, Jiangxi University of Finance and Economics, No. 168, Shuang-gang East Road, Economic and Technological Development District, Nanchang, 330013, China

    Xiao-Bing Mao, Si-Shi Hu & Shu-Ping Wan

  2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Jiu-Ying Dong

  3. College of Science, Guilin University of Technology, Guilin, 541004, China

    Gai-Li Xu

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  1. Xiao-Bing Mao
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  2. Si-Shi Hu
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Correspondence to Shu-Ping Wan.

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Mao, XB., Hu, SS., Dong, JY. et al. Multi-attribute Group Decision Making Based on Cloud Aggregation Operators Under Interval-Valued Hesitant Fuzzy Linguistic Environment. Int. J. Fuzzy Syst. 20, 2273–2300 (2018). https://doi.org/10.1007/s40815-018-0495-2

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