Adaptive minimum adjustment consensus model for large-scale group decision making under social networks and its application in Integrated Care of Older People

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

“…where α i and β i are expressed as Equations ( 37) and (38). In the elderly-service performance evaluation application, if the object A i follows the rule (P), then A i ∈ POS(C), meaning the third-party organization has a good performance and is qualified to obtain a new contract with the government; if the object A i follows the rule (N), then A i ∈ NEG(C), meaning that the third-party organization has a poor performance and the government should terminate the contract with it; and if the object A i follows the rule (B), then A i ∈ BND(C), meaning that the third-party organization has a moderate performance and it should take self-inspection and self-rectification for further evaluation.…”

“…As a period of three years comprises a decision-making cycle, the information of their latest three years (denoted as t 1 , t 2 , and t 3 , respectively, where t 3 is the current period) is selected. For the t 1 and t 2 periods, the following evaluation indexes are used to evaluate the elderly-care services provided by social organizations [38,39]. 1 Professional training level (c 1 ).…”

“…However, in many practical decision-making problems, it is necessary to use a combination of quantitative and qualitative attribute types. For instance, in the performance evaluation of elderly-care services, attributes such as the number of service programs, professional level, and communication ability are often considered [38,39]. Among them, the number of service programs is a quantitative attribute, which is often expressed by exact numbers; communication ability is a qualitative attribute, often expressed by language variables.…”