Abstract:Strong earthquakes may result in secondary disasters, such as building fires, which involve several factors. The traditional mathematical models that are used for assessing the fire risk ignore the randomness and fuzziness of different factors observed in the existing buildings after the occurrence of strong earthquakes, leading to low evaluation accuracy. To solve this problem, a mathematical model was established using a fuzzy mathematics method for assessing the fire risk in existing buildings after the occurrence of strong earthquakes. Further, the factors influencing the occurrence of fire in existing buildings after a strong earthquake were analyzed, and a fire risk assessment system was established for the existing buildings after a strong earthquake. The factors belonging to each layer in the evaluation index system were graded according to their influence on the factors of upper layer. The judgment matrix was further established, and the weight was obtained. The factor and comment sets required for assessing the fire risk in the existing buildings after the occurrence of strong earthquakes were obtained by determining the membership matrix. Single factor evaluation was further performed to realize first-grade fuzzy evaluation. The first-grade evaluation result was considered to be the single factor for performing second-grade evaluation. The fire risk assessment of the buildings after the occurrence of strong earthquakes was completed using the fuzzy mathematical analysis. The experimental results denoted that the proposed model is more suitable for real-life situations and more accurate when compared to other models.