基于博弈论组合赋权的基坑安全物元评价

Matter Element Evaluation of Foundation Pit Safety Based on Game Theory Combination Weighting

基坑工程的规模逐渐增大,其安全状态的影响因素也随之增多。为了实现由基坑工程中较为普遍的监测数据进行基坑安全状态的准确评价,将用于评价事物水平的物元可拓模型引入到基坑安全评价中,以解决不同指标间的不相容问题。同时,为了提高权重取值的真实性,通过博弈论组合赋权,在兼顾主客观因素的同时,可以克服单一赋权方法的局限性;采用了非对称贴进度理论替代最大隶属度准则,提高了评价精度。以长江漫滩地某基坑工程为例,基于一般性的监控指标,进行了安全状态的评价,评价结果较为接近实际。通过评价指标的敏感性分析,获得了对评价结果有重大影响的指标因素,该评价方法可在相关基坑中推广。

The scale of excavation projects is progressively increasing,accompanied by a growing number of factors influencing their safety status.To accurately assess the safety status of excavation projects using commonly available monitoring data,the matter-element extension model,typically used for evaluating the level of things,is introduced into excavation safety assessment to address the issue of incompatibility among different indicators.For enhancing the authenticity of weight values,a game theory-based combination weighting approach was employed,which overcomes the limitations of single-weighting methods and considers both subjective and objective factors.The asymmetric fuzzy preference theory was used as a substitute for the maximum membership degree criterion,resulting in improved evaluation accuracy.Taking a foundation pit project in the Yangtze River floodplain as a case study,this research assessed safety conditions using common monitoring indicators,yielding highly accurate results closely aligned with actual observations.Sensitivity analysis of these assessment indicators identified pivotal factors significantly impacting the evaluation outcomes.This method shows promise for widespread application in similar foundation pit projects.