Self-Confidence Rationality Identification of Group Decision Making Based on Consensus Analysis

This article focuses on the consensus-reaching process (CRP) for group decision-making with self-confidence (SC) and considers personalized individual semantics (PIS). To identify the rationality of SC, this article first uses PIS to transform linguistic variables into numerical variables, by which initial SC-based adjustment intervals are derived. Further, maximum and minimum programming models at three layers are conducted to derive adjustment intervals in view of consensus analysis, by which SC-based revision adjustment intervals are obtained. Moreover, the rationality of SC-based revision adjustment intervals is judged by consensus models. When irrationality is identified, the model for minimizing consensus adjustment under the given consensus level is built. In this process, if corresponding decision-makers show non-cooperative behaviors, different penalty rules are recommended in various cases. Finally, the proposed method is applied to select ideal medical care and nursing institutions, and sensitivity and comparative analyses are performed.