基于博弈论组合赋权TOPSIS法的深部进路参数优选

Optimization of structural parameters of deep stope based on combination weighting game theory

  • 摘要: 采取标度扩展AHP法、熵值法2种方法对各指标进行赋权得到主客观权重;并基于博弈论思想构造的组合赋权优化模型计算各评判指标的组合权重;最终建立基于博弈论组合赋权TOPSIS法的深部采场结构布置参数评价模型.结合实例计算得到各方案贴近度:方案1为58.05 %;方案2为41.95 %;方案3为41.61 %;方案4为56.87 %,因此优选出较优方案为方案1采场进路为4.5 m×4 m,矿柱非胶结充填.与线性加权法及乘法归一法2种组合法对比,结果表明,3种组合赋权TOPSIS法得到的4种方案的优劣排序均一致,方案1结果均较优,其次是方案4、方案2、方案3;说明博弈论组合赋权模型合理可行.

     

    Abstract: The Scale-Extending AHP method and the entropy method are used to calculate the subjective and objective weights of each index. Based on the game theory, the combination weighting model is established to calculate the combined weights of the evaluation indexes. Finally, Evaluation Model of Deep Stope Structure Arrangement is created based on game theory combined weights TOPSIS Method. According to the example calculation, the interrelated degree of each scheme is calculated as follows: scheme one, 58.05 %; scheme two, 41.95 %; scheme three, 41.61 %; scheme four, 56.87 %. So the best option scheme is the scheme one for which accesses to stopes is 4.5×4 m with pillar non-glued filling. Compared with the linear weighting method and the multiplicative normalization method, the results show that the advantages and disadvantages of the four schemes obtained by the three combinations of TOPSIS are the same, and the results of scheme one are the best, followed by the scheme Second, the program three, which demonstrate the game theory combined weight model is reasonable and feasible.

     

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