Loess landslides are typical geological disasters in loess regions, posing serious threats to human life, property, and the ecological environment. To address the fuzziness and randomness in the stability evaluation of loess landslides, this study proposes a stability evaluation model based on variable weight theory and a finite interval cloud model. First, a stability evaluation indicator system for loess landslides was constructed from three dimensions: geological factors, landslide characteristics, and triggering factors. Then, subjective and objective constant weights were calculated using the intuitionistic fuzzy analytic hierarchy process and the anti-entropy weighting method, respectively, and combined constant weights were obtained through game theory. Next, variable weight theory was introduced to dynamically adjust the combined constant weights according to the state values of the indicators. Finally, a loess landslide stability evaluation model was established by integrating the finite interval cloud model with the variable weights, and its applicability was verified through case studies. The results indicate that the Erzhuangke landslide, Xiaonangou landslide, Beishansi landslide, and Xinzhuangke landslide are generally stable, with the Erzhuangke landslide showing a tendency toward instability. Numerical simulation results were consistent with the cloud model evaluation and suggest a less stable development trend, providing support for the proposed model. Sensitivity and comparative analyses further support the stability of the weighting scheme and the practical applicability of the proposed evaluation framework. The findings provide a decision-making basis and theoretical reference for the prevention, control, and risk management of loess landslides.
Wang et al. (Wed,) studied this question.