School of Business, Sichuan Normal University, Chengdu 610101, China.
School of Statistics, Southwestern University of Finance and Economics, Chengdu 611130, China.
Int J Environ Res Public Health. 2020 Mar 16;17(6):1939. doi: 10.3390/ijerph17061939.
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.
中国人口老龄化趋势日益加剧，养老问题日益突出。仅靠政府提供的养老金模式已无法满足社会需求，政府向社会组织购买居家养老服务已成为新趋势。为了提高养老服务的效率和质量，需要建立合理的绩效评估模型。由于多属性群决策（MAGDM）的问题，政府购买的居家养老服务的绩效评估存在问题，因为这些问题不是单一属性或单一专家的问题。扩展的 TODIM 不仅将累积前景理论（CPT）的优势融入到决策者的心理因素考虑中，而且还保留了经典 TODIM 在相对优势方面的优势。毕达哥拉斯 2-元语言集（P2TLSs）可以轻松描述与政府购买居家养老服务相关的定性评估信息。因此，在本文中，我们将基于累积前景理论（CPT）的 TODIM 方法扩展到毕达哥拉斯 2-元语言集（P2TLSs），并提出了一种用于 MAGDM 的毕达哥拉斯 2-元语言 CPT-TODIM（P2TL-CPT-TODIM）方法。通过一个包括政府购买居家养老服务绩效评估的案例研究，证明了 P2TL-CPT-TODIM 方法优于经典方法。同时，与 P2TL-CPT-TODIM 方法进行了比较，以证明所设计方法的稳定性和有效性。
