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Decision-making models based on satisfaction degree with incomplete hesitant fuzzy preference relation

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Abstract

To address the situation where incomplete hesitant fuzzy preference relation (IHFPR) is necessary, this paper develops decision-making models taking into account decision makers’ satisfaction degree. First, the consistency measures, respectively, from the perspectives of additive and multiplicative consistent IHFPR are defined, which is based on the relationships of the IHPFRs and their corresponding priority weight vector. Second, two decision-making models are developed, respectively, in view of the proposed additive and multiplicative consistency measures. The main characteristic of the constructed models is they taking into account the decision makers’ satisfaction degree. The objective functions of the models are developed by maximizing the parameter of the satisfaction degree. Third, a square programming model is developed to obtain the decision makers’ weights by utilizing the optimal priority weight vectors information, the solution of the model is obtained by solving the partial derivatives of Lagrange function. Finally, a procedure for multi-criteria decision-making (MCDM) problems with IHFPRs is given, and an illustrative example in conjunction with comparative analysis is used to demonstrate the proposed models are feasible and efficiency for practical MCDM problems.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos.72061026), the Natural Science Foundation of Guangxi (Nos. 2020GXNSFAA297239), the Science and Technology Plan of Guangxi (gui ke AD20238006). The National Natural Science Foundation of China (Nos.61866006), the Natural Science Foundation of Guangxi (Nos. 2018JJB180015), and Young Teachers’ Basic Scientific Research Ability in Universities of Guangxi (No. 2020KY54014).

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Authors and Affiliations

  1. School of Logistics Management and Engineering, Nanning Normal University, Nanning, 530001, People’s Republic of China

    Jian Li & Qiongxia Chen

  2. Guangxi Agricultural Vocational and Technical University, Nanning, 530007, People’s Republic of China

    Jianping Ye & Li-li Niu

  3. Guangxi Key Lab of Human-machine Interaction and Intelligent Decision, Nanning Normal University, Nanning, 530001, People’s Republic of China

    Jian Li

  4. School of Mathematics and Information Science, Guangxi University, Nanning, 530004, People’s Republic of China

    Zhong-xing Wang

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  1. Jian Li
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  2. Jianping Ye
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  3. Li-li Niu
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  5. Zhong-xing Wang
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Correspondence to Jianping Ye or Li-li Niu.

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Authors Jian Li, Jianping Ye, Li–li Niu, Qiongxia Chen and Zhong-xing Wang declare that they have no conflict of interest.

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Li, J., Ye, J., Niu, Ll. et al. Decision-making models based on satisfaction degree with incomplete hesitant fuzzy preference relation. Soft Comput 26, 3129–3145 (2022). https://doi.org/10.1007/s00500-021-06635-y

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