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Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method

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  • Jianping Lu

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Tingting He

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Guiwu Wei

    (School of Business, Sichuan Normal University, Chengdu 610101, China)

  • Jiang Wu

    (School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China)

  • Cun Wei

    (School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China)

Abstract

The aging trend of China’s population is increasing, and the pension problem is becoming increasingly prominent. The pension mode provided by the government alone can no longer meet the social demand, and the government’s purchase of home-based care services from social organizations has become a new trend. In order to improve the efficiency and quality of pension services, a reasonable performance evaluation model needs to be established. Performance evaluations of home-based elderly-care services purchased by the government are problematic as a result of multiple-attribute group decision-making (MAGDM), as the problems are not single-attribute or single-expert issues. The extended TODIM not only integrates the advantages of cumulative prospect theory (CPT) into a consideration of the psychological factors of DMs, but also retains the superiority of the classical TODIM in relative dominance. The Pythagorean 2-tuple linguistic sets (P2TLSs) could easily depict qualitative assessment information related to the government’s purchase of home-based care services. Thus, in this paper, we extend the TODIM method based on the cumulative prospect theory (CPT) to the Pythagorean 2-tuple linguistic sets (P2TLSs) and propose a Pythagorean 2-tuple linguistic CPT-TODIM (P2TL-CPT-TODIM) method for MAGDM. The P2TL-CPT-TODIM method was proven superior to the classical one through a case study that included a performance evaluation of a home-based elderly-care service purchased by the government. Meanwhile, a comparison with the P2TL-CPT-TODIM method was performed to demonstrate the stability and effectiveness of the designed method.

Suggested Citation

  • Jianping Lu & Tingting He & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method," IJERPH, MDPI, vol. 17(6), pages 1-21, March.
    • Handle: RePEc:gam:jijerp:v:17:y:2020:i:6:p:1939-:d:333042
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    References listed on IDEAS

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    1. Shu-Ping Wan & Feng Wang & Gai-li Xu & Jiu-ying Dong & Jing Tang, 2017. "An intuitionistic fuzzy programming method for group decision making with interval-valued fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 16(3), pages 269-295, September.
    2. Tingting He & Guiwu Wei & Jianping Lu & Cun Wei & Rui Lin, 2019. "Pythagorean 2-Tuple Linguistic Taxonomy Method for Supplier Selection in Medical Instrument Industries," IJERPH, MDPI, vol. 16(23), pages 1-14, December.
    3. Xiumei Deng & Jie Wang & Guiwu Wei & Mao Lu, 2018. "Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators," Mathematics, MDPI, vol. 6(11), pages 1-28, October.
    4. Huang, X. & Mahieu, R.J., 2012. "Performance persistence of Dutch pension plans," Other publications TiSEM 3dba651c-bb31-443f-963c-4, Tilburg University, School of Economics and Management.
    5. Liangping Wu & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas," IJERPH, MDPI, vol. 17(3), pages 1-31, January.
    6. E Revilla & J Sarkis & A Modrego, 2003. "Evaluating performance of public–private research collaborations: A DEA analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(2), pages 165-174, February.
    7. Hui Gao & Linggang Ran & Guiwu Wei & Cun Wei & Jiang Wu, 2020. "VIKOR Method for MAGDM Based on Q-Rung Interval-Valued Orthopair Fuzzy Information and Its Application to Supplier Selection of Medical Consumption Products," IJERPH, MDPI, vol. 17(2), pages 1-14, January.
    8. Mei Tang & Jie Wang & Jianping Lu & Guiwu Wei & Cun Wei & Yu Wei, 2019. "Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 7(4), pages 1-27, April.
    9. Xiaohong Huang & Ronald Mahieu, 2012. "Performance Persistence of Dutch Pension Funds," De Economist, Springer, vol. 160(1), pages 17-34, March.
    10. Cavallaro, Fausto & Zavadskas, Edmundas Kazimieras & Streimikiene, Dalia & Mardani, Abbas, 2019. "Assessment of concentrated solar power (CSP) technologies based on a modified intuitionistic fuzzy topsis and trigonometric entropy weights," Technological Forecasting and Social Change, Elsevier, vol. 140(C), pages 258-270.
    11. Jie Wang & Guiwu Wei & Hui Gao, 2018. "Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(10), pages 1-45, October.
    12. Guiwu Wei & Cun Wei & Jiang Wu & Hongjun Wang, 2019. "Supplier Selection of Medical Consumption Products with a Probabilistic Linguistic MABAC Method," IJERPH, MDPI, vol. 16(24), pages 1-15, December.
    13. Harish Garg, 2017. "Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 546-571, December.
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