基于可拓理论的煤与瓦斯突出预警模型

Coal and gas outburst early warning model based on extension theory

为减少煤与瓦斯突出危险事故的发生,本文提出一种新的可拓预警模型。拓展研究了三区域套下多维不确定型初等关联函数的构造方法,定义了n维空间上区域之间的位值及关联函数公式,给出了相关定理及证明,利用模糊层次分析法确定各指标的权重,新关联函数的构造不仅使预警模型计算量大大降低,而且预警可靠性也有所提高。最后通过对同煤集团四老沟矿的实例分析,验证了该模型在实际应用中的有效性及合理性。

To reduce coal and gas outburst dangerous accidents occurrence, proposed a new early warning model in this paper. Extension research on the construction method of multi-dimensional uncertain type elementary dependent function in three nested regions, defined place value and dependent function formulas among regions in n-dimensional space, gave related theorems and proved them, determined the weights of indicators by fuzzy analytic hierarchy process, the construction of new dependent function was not only make the computational complexity of warning model greatly reduced, but also the warning reliability was somewhat increased. Finally by the example analysis on Si Laogou coal mine in Datong coal mine group, verified the effectiveness and rationality of the model in practical application.