IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i14p3176-d1197905.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/14/3176/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/14/3176/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    3. 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).
    4. 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.
    5. 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.
    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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chakraborty, Santonab & Ghosh, Sayantan & Sarker, Baneswar & Chakraborty, Shankar, 2020. "An integrated performance evaluation approach for the Indian international airports," Journal of Air Transport Management, Elsevier, vol. 88(C).
    2. Shih-Chia Chang & Ming-Tsang Lu & Mei-Jen Chen & Li-Hua Huang, 2021. "Evaluating the Application of CSR in the High-Tech Industry during the COVID-19 Pandemic," Mathematics, MDPI, vol. 9(15), pages 1-16, July.
    3. Jen-Jen Yang & Huai-Wei Lo & Chen-Shen Chao & Chih-Chien Shen & Chin-Cheng Yang, 2020. "Establishing a Sustainable Sports Tourism Evaluation Framework with a Hybrid Multi-Criteria Decision-Making Model to Explore Potential Sports Tourism Attractions in Taiwan," Sustainability, MDPI, vol. 12(4), pages 1-20, February.
    4. Afrasiabi, Ahmadreza & Chalmardi, Mazyar Kaboli & Balezentis, Tomas, 2022. "A novel hybrid evaluation framework for public organizations based on employees’ performance factors," Evaluation and Program Planning, Elsevier, vol. 91(C).
    5. Alptekin Ulutaş & Ayşe Topal & Dragan Pamučar & Željko Stević & Darjan Karabašević & Gabrijela Popović, 2022. "A New Integrated Multi-Criteria Decision-Making Model for Sustainable Supplier Selection Based on a Novel Grey WISP and Grey BWM Methods," Sustainability, MDPI, vol. 14(24), pages 1-20, December.
    6. James J. H. Liou & Perry C. Y. Liu & Huai-Wei Lo, 2020. "A Failure Mode Assessment Model Based on Neutrosophic Logic for Switched-Mode Power Supply Risk Analysis," Mathematics, MDPI, vol. 8(12), pages 1-19, December.
    7. Junnan Wu & Xin Liu & Dianqi Pan & Yichen Zhang & Jiquan Zhang & Kai Ke, 2023. "Research on Safety Evaluation of Municipal Sewage Treatment Plant Based on Improved Best-Worst Method and Fuzzy Comprehensive Method," Sustainability, MDPI, vol. 15(11), pages 1-15, May.
    8. Zhipeng Tang & Ziao Mei & Jialing Zou, 2021. "Does the Opening of High-Speed Railway Lines Reduce the Carbon Intensity of China’s Resource-Based Cities?," Energies, MDPI, vol. 14(15), pages 1-18, July.
    9. Zarei, Esmaeil & Khan, Faisal & Abbassi, Rouzbeh, 2021. "Importance of human reliability in process operation: A critical analysis," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    10. Sarfaraz Hashemkhani Zolfani & Ramin Bazrafshan & Fatih Ecer & Çağlar Karamaşa, 2022. "The Suitability-Feasibility-Acceptability Strategy Integrated with Bayesian BWM-MARCOS Methods to Determine the Optimal Lithium Battery Plant Located in South America," Mathematics, MDPI, vol. 10(14), pages 1-18, July.
    11. Paul, Ananna & Shukla, Nagesh & Trianni, Andrea, 2023. "Modelling supply chain sustainability challenges in the food processing sector amid the COVID-19 outbreak," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    12. Liang, Fuqi & Brunelli, Matteo & Rezaei, Jafar, 2020. "Consistency issues in the best worst method: Measurements and thresholds," Omega, Elsevier, vol. 96(C).
    13. Pushparenu Bhattacharjee & Syed Abou Iltaf Hussain & V. Dey & U. K. Mandal, 2023. "Failure mode and effects analysis for submersible pump component using proportionate risk assessment model: a case study in the power plant of Agartala," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1778-1798, October.
    14. Dilupa Nakandala & Yung Po Tsang & Henry Lau & Carman Ka Man Lee, 2022. "An Industrial Blockchain-Based Multi-Criteria Decision Framework for Global Freight Management in Agricultural Supply Chains," Mathematics, MDPI, vol. 10(19), pages 1-23, September.
    15. Martín-García, Jaime & Gómez-Limón, José A. & Arriaza, Manuel, 2024. "Conversion to organic farming: Does it change the economic and environmental performance of fruit farms?," Ecological Economics, Elsevier, vol. 220(C).
    16. Zeng, Shouzhen & Zhou, Jiamin & Zhang, Chonghui & Merigó, José M., 2022. "Intuitionistic fuzzy social network hybrid MCDM model for an assessment of digital reforms of manufacturing industry in China," Technological Forecasting and Social Change, Elsevier, vol. 176(C).
    17. Salimi, Negin & Rezaei, Jafar, 2018. "Evaluating firms’ R&D performance using best worst method," Evaluation and Program Planning, Elsevier, vol. 66(C), pages 147-155.
    18. Željko Stević & Irena Đalić & Dragan Pamučar & Zdravko Nunić & Slavko Vesković & Marko Vasiljević & Ilija Tanackov, 2019. "A new hybrid model for quality assessment of scientific conferences based on Rough BWM and SERVQUAL," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 1-30, April.
    19. Sung-Shun Weng & Yang Liu & Yen-Ching Chuang, 2019. "Reform of Chinese Universities in the Context of Sustainable Development: Teacher Evaluation and Improvement Based on Hybrid Multiple Criteria Decision-Making Model," Sustainability, MDPI, vol. 11(19), pages 1-23, October.
    20. Wu, Xingli & Liao, Huchang, 2021. "Modeling personalized cognition of customers in online shopping," Omega, Elsevier, vol. 104(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3176-:d:1197905. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.