A New Method for Slope Risk Stability Assessment: Combined Weighting and Improved Cloud Matter-Element Model

Abstract

In order to accurately evaluate the grade of slope stability and reduce the risk of geological disasters, a comprehensive evaluation method of slope stability based on game theory and finite interval cloud matter element model is proposed. Firstly, based on the principles of scientificity, rationality, representativeness, feasibility, and coefficient of variation, the evaluation index system of slope stability is constructed. Then, the subjective and objective weights of the evaluation indexes are determined by the improved analytic hierarchy process (IAHP) and anti-entropy weight (AEW) respectively, which effectively reduces the deviation caused by the single weighting method. The comprehensive weight is determined based on game theory. Finally, the slope stability evaluation is carried out according to the finite interval cloud matter element model, and the expectation of multiple solutions is taken as the final evaluation result, which effectively solves the ambiguity in the evaluation process, and the confidence factor is introduced to measure the reliability of the result. This evaluation model is applied to three slopes in the engineering example, namely K1, K2, and K3. The results show that the stability levels of slope K1 and K3 are basically stable, the stability level of K2 is stable, and the evaluation results are consistent with the actual situation, which verifies the correctness of the model. The model has engineering application value in evaluating slope stability and can provide reference basis for slope treatment and prevention of safety accidents in the later stage.