Comprehensive evaluation model for coal mine safety based on uncertain random variables

In the comprehensive evaluation of coal mine safety, the indices in the hierarchical structure are often expressed as uncertain random variables. Therefore, a new assessment approach based on uncertain random variables is proposed. Firstly, the values of the indices are described by uncertain random variables and the degree of an index belonging to a scale is described by the chance of an uncertain random event. Secondly, in order to show the different roles of different components of an index, the definition of discriminatory weight is introduced, and then an algorithm which is a generalization of the weighted average model is proposed based on discriminatory weight to realize the transformation from the scales of the underlying indices to the scales of the target. At last, a numerical evaluation example for coal mine safety is provided to illustrate the design methodology and give a better insight into the algorithmic details.