关键词: 边坡稳定性, 博弈论, 集对分析, 联系度

Abstract: In view of slope stability evaluation affected by multiple uncertainty factors, we proposed a set pair analysis evaluation model based on combination weighting game theory. First, by comprehensively considering various factors, we selected seven indexes and established the evaluation criteria. The one-sidedness of single weight method is avoided by using the game theory optimization model to combine the subjective and objective weights which are calculated by analytic hierarchy process and entropy method respectively. Then we obtained the sets identity and discrepancy contrary by analyzing the identity, discrepancy and contradiction of the simple characteristics in set pair analysis. Finally, we identified the level of slope stability through the confidence criterion (λ=0.6). Case study shows that the evaluation results agree well with those by grey correlation analysis and extension evaluation, which proves that this method is feasible to estimating slope stability.

Key words: slope stability, game theory, set pair analysis, connection degree