Abstract: In order to overcome the shortcomings of coal spontaneous combustion hazard evaluation in goaf in previous evaluation models, an extension evaluation model was established based on improved game theory empowerment. Classical field, joint domain, matter-element to be evaluated were built and correlation coefficient matrix of indexes was calculated by extension theory. Comprehensive weight of evaluation indexes was calculated by using improved G1 method, entropy weight method and improved game theory, and the comprehensive correlative degree of evaluated matter-element was determined.Hazard rating and sequencing of evaluated matter-element were identified by introducing confidence and rating assignment. Coal spontaneous combustion hazard in goaf was evaluated by the model. 16 evaluation indexes affecting coal spontaneous combustion were selected.The matter-element system for evaluating coal spontaneous combustion hazard in goaf was established. Comprehensive correlative degree of coal spontaneous combustion hazard in goaf was calculated by comprehensive weight and correlation coefficient matrix. Hazard rating and sequencing of coal spontaneous combustion in four goafs were identified. Analysis results show that hazard rating and sequencing of evaluated matter-element are in line with the colliery field situation. Evaluation results can be used to guide the field fire prevention and extinguishing work.