Study on the stability evaluation method of fuzzy mathematical landslide improved by entropy weight method

Landslide are one of the most common types of geological disasters in China, posing a serious threat to the safety of people's lives and properties due to their propensity and frequency. The stability assessment of landslides is crucial in landslide disaster prevention and mitigation works. Considering the fuzzy nature of landslide inducing factors, a certain accumulation layer landslide in Xinpu Town, Mianxian County is taken as an example in this article. Based on the analysis of geological environmental conditions, a fuzzy mathematical method is employed for landslide stability assessment. The concept of "entropy" from thermodynamics is introduced, and the entropy weight method is used to determine the weights of landslide inducing factors. Consequently, a new method for landslide stability assessment based on the improved entropy weighting method in fuzzy mathematics is proposed. The results show that the proposed method overcomes the subjectivity in determining the weights of landslide influencing factors in traditional fuzzy comprehensive evaluation methods. Validation through quantitative analysis of landslide stability using numerical simulation method found that the evaluation conclusions of the two methods were in good consistent, indicating the reliability of the proposed new method. The improved fuzzy mathematical landslide stability assessment based on entropy weighting method is relatively fast and simple, making it suitable for landslide disaster prevention and mitigation works in emergency situations such as rapid disaster warning of impending disasters and emergency rescue.