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GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services

Author

Listed:
  • Fan Jia

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China)

  • Yujie Wang

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China)

  • Yiting Su

    (School of Management Engineering, Shandong Jianzhu University, Jinan 250101, China)

Abstract

As an important branch of modern decision-making theory, multi-attribute decision-making (MADM) plays an important role in various fields. Classic MADM methods can provide a ranking of alternatives, and decision-makers need to evaluate the level subjectively based on the ranking results. Because of the limitation of knowledge, this is likely to lead to potential individual losses. Three-way decision (3WD) theory has good classification ability. Therefore, this paper proposes a dynamic hybrid multi-attribute 3WD (MA3WD) model. First, a new scheme for constructing loss functions is proposed from the perspective of gray relational analysis (GRA), which is an accurate and objective way to describe the relationship between loss functions and attribute values. Then, conditional probabilities are determined by employing the gray relational analysis technique for order preference by similarity to the ideal solution (GRA-TOPSIS). With these discussions, a GRA-based hybrid MA3WD model for a single period is proposed by considering multi-source information. Furthermore, by extending the single-period scenario to a multi-period one, we construct a dynamic hybrid MA3WD model, which can obtain the final three-way decision rules as well as the results of each period and each attribute. Finally, the proposed method is applied to the case of performance evaluation of elderly-care services to demonstrate the effectiveness of the method, and comparative analyses are given to verify the superiority of the proposed method.

Suggested Citation

  • Fan Jia & Yujie Wang & Yiting Su, 2023. "GRA-Based Dynamic Hybrid Multi-Attribute Three-Way Decision-Making for the Performance Evaluation of Elderly-Care Services," Mathematics, MDPI, vol. 11(14), pages 1-26, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3176-:d:1197905
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    References listed on IDEAS

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    1. Yang, Yuying & Guo, Haixiang & Chen, Linfei & Liu, Xiao & Gu, Mingyun & Ke, Xiaoling, 2019. "Regional analysis of the green development level differences in Chinese mineral resource-based cities," Resources Policy, Elsevier, vol. 61(C), pages 261-272.
    2. Lu, Ming-Tsang & Hsu, Chao-Che & Liou, James J.H. & Lo, Huai-Wei, 2018. "A hybrid MCDM and sustainability-balanced scorecard model to establish sustainable performance evaluation for international airports," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 9-19.
    3. Babak Daneshvar Rouyendegh & Kazim Topuz & Ali Dag & Asil Oztekin, 2019. "An AHP-IFT Integrated Model for Performance Evaluation of E-Commerce Web Sites," Information Systems Frontiers, Springer, vol. 21(6), pages 1345-1355, December.
    4. Xiaolin Xun & Yongbo Yuan, 2020. "Research on the urban resilience evaluation with hybrid multiple attribute TOPSIS method: an example in China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 103(1), pages 557-577, August.
    5. Zhang, Lihui & Zhao, Zhenli & Yang, Meng & Li, Songrui, 2020. "A multi-criteria decision method for performance evaluation of public charging service quality," Energy, Elsevier, vol. 195(C).
    6. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    7. Li, Cong-Cong & Dong, Yucheng & Liang, Haiming & Pedrycz, Witold & Herrera, Francisco, 2022. "Data-driven method to learning personalized individual semantics to support linguistic multi-attribute decision making," Omega, Elsevier, vol. 111(C).
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