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

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.

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

“…Finally, an application for evaluating a green building energy-saving design project was provided to confirm the superiority of this novel method, and a comparative analysis between an IF-EDAS method and other methods was also made to further verify the merits of this method. In our future work, an IF-EDAS method may be extended to interval-valued intuitionistic fuzzy sets and extensively applied to different uncertain situations [42][43][44][45] and ambiguous environments [46][47][48][49][50].…”

Improved CODAS Method Under Picture 2-Tuple Linguistic Environment and Its Application for a Green Supplier Selection

“…In this situation, green supply chain management is particularly significant, and there are a lot of challenges in evaluating green suppliers for enterprises. Green supplier selection is a classical MAGDM problem (He et al, 2019a;Lu et al, 2020;Wang P. et al, 2020;Wei et al, 2020). Thus, in this section, an application of selecting the optimal green supplier will be provided by making use of the CODAS method with P2TLNs, which can offer an effective solution for selecting green suppliers.…”

TODIM method for multiple attribute group decision making based on cumulative prospect theory with 2‐tuple linguistic neutrosophic sets

“…It is an important part of modern decision science. To solve the problem of MADM issues, scientists proposed many methods, such as the Technique for Order Preference by similarity to an ideal solution (TOPSIS) method, 8–10 the VIKOR method, 11–16 the evaluation based on distance from average solution (EDAS) method, 17–20 the multi‐attributive border approximation area comparison (MABAC) method, 21–25 the Taxonomy method, 5,26–28 the Interactive multi‐criteria decision‐making (TODIM) method 29–34 and so on. And these methods have been used in management, technology, economy, and many other fields.…”

“…Hence, in my view, the CPT‐TODIM method has obvious advantages in dealing with multiple attribute group decision‐making (MAGDM) problems. However, there are few studies 31 using this method at present. In addition, the development of internet technology has brought new challenges to enterprise management.…”