老采空区稳定性的模糊可拓评价模型

针对老采空区稳定性影响因素的不确定性、模糊性和复杂性等特点,将模糊数学与可拓学相结合,提出了老采空区稳定性的模糊可拓评价模型。在分析老采空区稳定性影响因素的基础上,建立评价指标体系,采用模糊隶属函数对定性、定量指标进行规格化处理,并制定老采空区稳定性评价准则;根据物元理论构建模糊物元及其经典域、节域,以模糊群决策法确定各影响因素的权重,通过计算综合关联度,评判老采空区稳定性等级;最后,以一个老采空区为例进行稳定性评价,得出与实际情况相一致的结论。研究分析表明,模糊可拓评价模型用于老采空区稳定性评价是可行的,该模型较全面地反映了多种因素对老采空区稳定性的综合影响,可为老采空区上方兴建建筑物提供技术支持。

Fuzzy Extension Assessment Model of Old Goaf Stability

Considering the characteristics of influencing factors of the old goaf stability, such as uncertainty, ambiguity and complexity, the fuzzy mathematics and extenics are integrated in this paper, and a novel model named fuzzy extension model is presented to assess the old goaf stability. Firstly, based on analyzing the influencing factors of the old goaf stability, the assessment factor system was established, in which the qualitative and quantitative indexes were normalized by fuzzy membership function, and the stability criterion was developed; Secondly, fuzzy matter-elements and their classical and extensional fields were constructed based on matter-element theory, and the weights of the influencing factors were determined by fuzzy group decision-making, then the extension dependent function was calculated and the stability level of the old goaf was judged; Finally, a case study was given in this paper, and the final conclusion was accorded with the actual situation. The study shows that fuzzy extension model integrated with the influence of multi-factors is feasible to assess the stability of the old goaf, and it could provide technical support for the buildings which will be built above the goaf.