Slope Stability Analysis Based on Group Decision Theory and Fuzzy Comprehensive Evaluation

A slope stability evaluation method is proposed combining group decision theory, the analytic hierarchy process and fuzzy comprehensive evaluation. The index weight assignment of each evaluation element is determined by group decision theory and the analytic hierarchy process, and the membership degree of each indicator is determined based on fuzzy set theory. According to the weights and memberships, the membership degrees of the criterion layer are obtained by fuzzy operations to evaluate the slope stability. The results show that (1) the evaluation method comprehensively combines the effects of multiple factors on the slope stability, and the evaluation results are accurate; (2) the evaluation method can fully leverage the experience of the expert group and effectively avoid evaluation errors caused by the subjective bias of a single expert; (3) based on a group decision theory entropy model, this evaluation method can quantitatively evaluate the reliability of expert decisions and effectively improve the efficiency of expert group discussion; and (4) the evaluation method can transform the originally fuzzy and subjective slope stability evaluation into a quantitative evaluation.