EAAI Journal 2026 Journal Article
Consistency and consensus-based decision-making for probabilistic linguistic information reliability
- Yan Chen
- Dan Li
- Lin Liu
- Xiao Wang
- Lei Xu
Probabilistic linguistic information is a new decision-making tool that can effectively handle uncertain information in the decision-making process. In the group decision-making process based on probabilistic linguistic information, the PageRank algorithm based on social network expert weight calculation, the reliability of individual experts and the reliability of the group decision-making are rarely considered. This research mainly addresses this series of questions. Four processes are included: the operation laws for linguistic term sets, the consistency analysis process of the probabilistic linguistic preference matrix, expert weights based on the improved PageRank algorithm and the process of expert reliability analysis. In the first process, a new algorithm is proposed in this paper, which solves the problem of closure and transferability of operations between linguistic term sets. In the second process, the concept of the derived matrix is defined, and combined with the concept of the reachability matrix, the method of judging the complete consistency and satisfactory consistency of the probabilistic linguistic preference matrix is given. In the third process, the concept of dual trust propagation is defined and combined with the trust relationship between experts and the PageRank algorithm to calculate the expert weights. The concept of two-level consensus and a consensus threshold are introduced in the meanwhile, which ensures the quality of decision-making. According to the properties of the derived matrix, a ranking method of alternatives is given by solving the eigenvector of the maximum eigenvalue. In the last process, the concept of decision-making reliability is presented, and the calculation method of expert reliability and group decision-making reliability are given. The effectiveness and practicality of the method given in this paper are illustrated by numerical examples.