Risk assessment of debris flow involves many factors of random and fuzzy uncertainties.Based on set pair theory and normal cloud model, a multidimensional connection normal cloud model is presented here for the risk assessment of debris flow hazards.Namely, to reduce the complexity of the evaluation process of the multiple indicators problem using one-dimensional cloud model, the multidimensional cloud model is discussed.At the same time, to avoid the subjectivity of determining the numerical characteristics of cloud model and improve the fuzzy-randomness of evaluation indicators closer to the actual distribution characteristics, the identity-discrepancy-contrary relation analysis is conducted to determine the numerical characteristics of the multidimensional connection cloud model based on set pair theory.The case study shows that the proposed model is feasible and effective to assess debris flow hazard.Besides, compared with the one-dimensional normal cloud model and other methods, this method can uniformly describe the certainty and uncertainty relationships between the measured indexes and the classification standard, and provides a clearer idea in the evaluation process and more reliable results. © 2021, The Editorial Board of Journal of Basic Science and Engineering. All right reserved.
