The susceptibility assessment of debris flow hazards based on the game theory combination weighting-normal cloud model

The susceptibility evaluation of debris flow has excellent significance for people’s life and property safety. The game theory combination weighting-normal cloud model is applied to evaluate its susceptibility in the paper. Firstly, the length ratio of the supply segment (X1), the longitudinal slope of the main ditch (X2), the slope of the mountain (X3), watershed area (X4), the relative difference (X5), the vegetation coverage (X6), as well as the daily maximum rainfall (X7) are adopted as the assessment index; the game theory combination weighting-normal cloud model is introduced. Secondly, the normal cloud model of specific debris flow hazards is established; the weight coefficient of each index is calculated using the game theory combination weighting method, and the membership degree of each index is determined using the cloud model; finally, conclusions are drawn that the results obtained by the suggested method are consistent with the actual investigation for eight different gullies. Its accuracy reaches 100% for the proposed method, which is higher than the results from the gray extension model (62.5%); its assessment results predict the susceptibility level of debris flow hazards accurately and further determine the susceptibility grade ranking for different gullies at the same level. Therefore, it can provide a new method and thought for the susceptibility assessment of debris flow hazards in the future.