Operation mode selection of public-funded private-run elderly care agencies based on triangular intuitionistic fuzzy preference relations group decision-making

In the face of aging population, public-funded private-run elderly care agencies can improve the quality of pension service while improving the utilization efficiency of pension resources. To ensure the operation effect of public-funded private-run elderly care agencies, it is necessary to select the appropriate operation mode. To solve this problem, this paper proposes a group decision-making method based on triangular intuitionistic fuzzy preference relations (TIFPRs). First, the multiplicative consistency definition of TIFPRs is given. Based on this definition, problems such as missing information determination, consistency judgment and correction are discussed by constructing the programming models. To ensure the decision-makers to achieve a higher consistency of the decision results, the problem of group consensus is further studied. Finally, through the operation mode selection of the public-funded private-run elderly care agencies, the rationality and effectiveness of the proposed method is illustrated.