未确知数学在煤层顶底板稳定性分析中的研究

Study of unascertained mathematical theory on adjoining rock stability analysis of coal seam

由于利用传统的实验方法,某些数据不能全面、准确地反映事物的本质,提出了不确定性信息处理方法,它在未确知信息理论和未确知有理数概念的基础上,利用求解未确知期望的方法解决实际问题。笔者通过该方法对煤层顶底板岩层的稳定性进行分析和计算,结果表明,运用未确知有理数运算对解决大系统优化问题较传统方法更精确、更有效,计算结果合理。尤其地下工程其本身具有未确知性,加之受各种不确定因素影响,在处理该类问题时,运用处理不确定信息的未确知数学方法值得进一步探讨和使用。

As a result of the failure to making possible the comprehensive and accurate reflection of the essence of certain data due to the use of conventional experimental methods, the unascertained information processing methods were proposed. Based on unascertained information theory and unascertained rational number, the method of solving unascertained expectation was used to solve the actual problem. The analysis and the computation for adjoining rock stability of coal seam led to the conclusion that use of the operation of unascertained rational number to solve the optimization problem of large scale system is more accurate and more valid than conventional experimental methods. What is more , the uncertainty characters affecting underground engineering, combined with different kinds of unascertained factors, make it necessary to further study the use of unascertained mathematical theory to solve underground engineering.